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Pythagoras of Samos
"We ought so to behave to one another as to avoid making enemies of our friends, and at the same time to make friends of our enemies." Pythagoras
Pythagoras, from the Greek island of Samos, (c570-c495 B.C.) believed that numbers were the building blocks of all reality. He is given credit for the discovery of the Pythagorean theorem, which states that "the square of the hypotenuse of a right triangle equals the sum of the squares of the other two sides".
The relationship between Pythagorean geometry and Bible gematria makes for an intriguing study. There is a verse in the Bible in which God addresses Moses from the burning bush: |
"And God said unto Moses, I AM THAT I AM: and he said, Thus shalt thou say unto the children of Israel, I AM hath sent me unto you." Exo 3:14
In Hebrew, I AM THAT I AM is written as אהיה אשר אהיה (Ehyeh Asher Ehyeh), which has a gematria value of 543. Moses, or in Hebrew משה (Moshe) has a gematria value of 345. The numbers 3, 4 and 5 constitute the first Pythagorean triple.
An old Babylonian tablet (1900-1600 BC), shown on the left, contains the so-called Pythagorean Theorem, except that it predates Pythagoras by a millennium or more. According to Neugebauer and Sachs (1946), the tablet lists in the two middle columns the numbers that satisfy the theorem. From the left, the first column indexes the contents of the table (1, 2, 3, …), the second and the third the hypotenuse c and the leg a of a right triangle all in sexagesimal numbers. The fourth column shows (c/b)2 where b is the basis of the triangle. For instance, the 11th row shows 75, 45, and 1.5625 = (75/60)2. A translation of another Babylonian tablet preserved in the British museum states (John Heise): 4 is the length and 5 the diagonal. What is the breadth? Its size is not known. 4 times 4 is 16. 5 times 5 is 25. You take 16 from 25 and there remains 9. What times what shall I take in order to get 9? 3 times 3 is 9. 3 is the breadth.
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Pythagorean Triples
A Pythagorean Triple is a set of positive integers, a, b and c that fits the rule: a² + b² = c². Examples include 5, 12, 13 and 9, 40, 41. The first (smallest) Pythagorean Triple is 3, 4, 5.
Isaiah 7:14 prophesies the coming of the Messiah:
"Therefore the Lord himself shall give you a sign; Behold, a virgin shall conceive, and bear a son, and shall call his name Immanuel."
His name Immanuel (meaning "God (is) with us") is written in the original Hebrew שמו עמנואל and has a gematria value of 543.
Genesis 49:10 is a primary Torah source for the belief that the Messiah will come:
"The sceptre shall not depart from Judah, nor a lawgiver from between his feet, until Shiloh come; and unto him shall the gathering of the people be."
Shiloh is the Messiah, and in Hebrew שילה (Shiloh) has a gematria value of 345.
"Then came Peter to him, and said, Lord, how oft shall my brother sin against me, and I forgive him? till seven times? Jesus saith unto him, I say not unto thee, Until seven times: but, Until seventy times seven." Mat 18:21-22
"Therefore the Lord himself shall give you a sign; Behold, a virgin shall conceive, and bear a son, and shall call his name Immanuel."
His name Immanuel (meaning "God (is) with us") is written in the original Hebrew שמו עמנואל and has a gematria value of 543.
Genesis 49:10 is a primary Torah source for the belief that the Messiah will come:
"The sceptre shall not depart from Judah, nor a lawgiver from between his feet, until Shiloh come; and unto him shall the gathering of the people be."
Shiloh is the Messiah, and in Hebrew שילה (Shiloh) has a gematria value of 345.
- Gen 49:10 gives 49 x 10 = 490 = 70 x 7
- Jesus replied to Peter (Mat 18:22) a brother's sin should be forgiven until seventy times seven (until Shiloh comes).
"Then came Peter to him, and said, Lord, how oft shall my brother sin against me, and I forgive him? till seven times? Jesus saith unto him, I say not unto thee, Until seven times: but, Until seventy times seven." Mat 18:21-22
- the gematria value of "Jesus Christ" (Ιησους Χριστος) = 888 + 1480 = 2368
- 2368 / 2 = 1184
- 1480 - 1184 = 1184 - 888 = 296
- 296 is the gematria value of "the earth" from Gen 1:1
- 1184 is the combined gematria of "God" (86) and "the heaven and the earth" (395 + 703) from Gen 1:1
The 3-4-5 Pythagorean triangle is also associated with the year the United States of America officially became a nation - 1776. This year in Roman numerals is written as MDCCLXXVI, and the implications of this can be seen from a pattern of three pairs:
The three pairs give a total of 500 + 100 + 50 +10 + 5 + 1 = 666 (the greatly misunderstood number of a man). The remaining numerals provide 1000 + 100 + 10 = 1110. Together with 888, these numbers form an intriguing triangle.
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The association between the numbers 666 and 888 (Jesus) can be shown by examining the notorious verse from the Book of Revelation:
"Here is wisdom. Let him that hath understanding count the number of the beast: for it is the number of a man; and his number is Six hundred threescore and six." Rev 13:18
In the original Greek text, the words "and his number is Six hundred threescore and six." is written as Και ο αριθμος αυτου Χξς΄
which has a gematria value of 2368, as does Ιησους Χριστος ("Jesus Christ").
"Here is wisdom. Let him that hath understanding count the number of the beast: for it is the number of a man; and his number is Six hundred threescore and six." Rev 13:18
In the original Greek text, the words "and his number is Six hundred threescore and six." is written as Και ο αριθμος αυτου Χξς΄
which has a gematria value of 2368, as does Ιησους Χριστος ("Jesus Christ").
Tower of Alephs
The Tower of Babel (Hebrew: מגדל בבל Migdal Bavel) has a gematria value of 111. The millui (spelled out) gematria value for the letter aleph (אלף) is also 111. Using equidistant letter sequence (ELS), the longest sequence of alephs to be found in the Bible is ten, and 10 x 111 = 1110. This sequence is found using an ELS of 1850, which is 50 x 37. The first aleph in the sequence is found in the story of the Tower of Babel (Genesis 11:4), and is the middle letter of the Hebrew word for top וראשו (rosh). "And they said, Go to, let us build us a city and a tower, whose top may reach unto heaven; and let us make us a name, lest we be scattered abroad upon the face of the whole earth." Gen 11:4 |
The gematria value of Χριστος ("Christ") is 1480, and the 1480th prime number is 12,401. The first occurrence of 12401 in the decimal digits of pi is preceded by the three digits 111.
"To the only wise God our Saviour, be glory and majesty, dominion and power, both now and ever Amen." Jud 1:25
μονωι σοφωι θεωι σωτηρι ημων δοξα και μεγαλωσυνη κρατος και εξουσια και νυν και εις παντας τους αιωνας αμην
970 1580 824 1418 898 135 31 1537 691 31 746 31 500 31 215 632 970 1062 99 = 12401
This is the 30,698th verse in the Bible (KJV). The first occurrence of 30698 in pi begins from position 133,977.
μονωι σοφωι θεωι σωτηρι ημων δοξα και μεγαλωσυνη κρατος και εξουσια και νυν και εις παντας τους αιωνας αμην
970 1580 824 1418 898 135 31 1537 691 31 746 31 500 31 215 632 970 1062 99 = 12401
This is the 30,698th verse in the Bible (KJV). The first occurrence of 30698 in pi begins from position 133,977.
- 133 + 977 = 1110
You can search for the "tower of alephs" yourself by downloading a free demo ELS program here (3.8Mb).
The Jesus Triangles
The two 3:4:5 Pythagorean triangles with one side length being 888 can be adjoined thus:
Two additional shapes are required to complete the outline – a rectangle and another right angled triangle:
The additional shapes merit closer examination and are therefore isolated:
- 222:296:370 = 3:4:5
- φ(222) = 72
- φ(296) = φ(370) = 144
- The area of the rectangle = 197,136 = 666 x 296 = 144 x 37²
- The area of the triangle = 32,856 = 888 x 37
- 197,136:32,856 = 6:1 (six days of creation : one day sabbath)
A composite triangle can also be constructed thus:
The number 70 is a familiar Bible number - witness Daniel’s 70 weeks prophesy and the threescore and ten days of our years. What is intriguing to this study is that the state of Israel was born in 1948, and 1948 + 70 years = 2018, which is 5778 on the Hebrew calendar.
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Jesus, Pythagoras and 153 Fish
The miraculous catch of fish at the Sea of Tiberias in John 21:10-11 which takes place after the resurrection of Jesus, contains an intriguing number puzzle. Why was the precise number of the catch mentioned in the account? There is also lore regarding a catch of fish in Pythagorean tradition. According to most accounts, Pythagoras happened upon a group of fishermen hauling in a large catch of fish. Pythagoras, it is said, predicts the number of fish which will be in the net, then commands the fishermen to set the fish free when his prediction proves correct. The exact number of fish is not mentioned in the story, but it is assumed to be 153, which was considered a sacred number amongst the Pythagoreans.
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Euler's totient function φ(n), used in number theory, sheds new light on this piscatorial problem. There is a mathematical connection between the gematria value of Jesus and the number 153.
- φ(888) = 288
- φ(288) = φ(153)
Why the Pythagoreans considered 153 to be a sacred number can be appreciated by the following calculation, based on the Earth's solar and lunar cycles.
Methuselah was the longest lived man in the Hebrew Bible. The year of his death was also the year of the Great Flood (1656 on the Hebrew calendar). According to legend, he died seven days before the inundation. In keeping with the aquatic theme, Methuselah's age can be calculated using the number of fish caught in the net (Joh 21:11):
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The first occurrence of 7 in pi appears at position 13, the gematria value of אחד ("one"). The word "one" appears 1967 times in the Bible (KJV), which was the year Jerusalem was reunited under Jewish rule. The third occurrence of 7 in pi appears at position 39, the gematria value of יהוה אחד ("one LORD") see Deu 6:4. Within the decimal digits of e, the first occurrence of 7 appears at position 1, and the third occurrence at position 26, the gematria value of יהוה (LORD).
Methuselah was the seventh generation since Adam, and he died seven days before the flood. Enoch was 65 years old when he begat Methuselah, and the first occurrence of 65 in the decimal digits of pi begins from position seven. The next three digits are 358, the gematria value of משיח (Moshiach):
Methuselah was the seventh generation since Adam, and he died seven days before the flood. Enoch was 65 years old when he begat Methuselah, and the first occurrence of 65 in the decimal digits of pi begins from position seven. The next three digits are 358, the gematria value of משיח (Moshiach):
In Hebrew שבע ("seven") has a gematria value of 372. The first occurrence of 372 in pi begins from position 300. After Enoch begat Methuselah, he lived 300 years, and then he walked with God (Gen 5:22).
It can scarcely be coincidence, then, that the firstborn of Methuselah (Lamech) lived 777 years, and then he died (Gen 5:31).
- the gematria value of ברקיע השמים ("in the firmament of the heaven") = 777 (Gen 1:14)
- 777 (decimal) = 2160 (base 7)
- the equatorial diameter of the moon = 2160 miles ("...Let there be lights in the firmament of the heaven to divide the day from the night; and let them be for signs...")
- 777 = 7 x 111
- 111 (decimal) = 216 (base 7)
- the first occurrence of 111 in pi begins from position 153
- 777 adds seven rows to the 5778 triangle
- 5778 + 777 = 6,555
- 6 x 555 = 3330
- Moses received the Torah at Mt Sinai in the year 2448 on the Hebrew calendar
- 2448 + 3330 = 5778
- 5778 on the Hebrew calendar = 2017/2018 (Gregorian)
- the totient of 6555 = 3168, the gematria value of κυριος Ιησους Χριστος ("Lord Jesus Christ")
The Queen of Sheba
The Hebrew spelling of "seven" is שבע (sheba). The Queen who came to Jerusalem to prove Solomon with hard questions (1Ki 10:1) was from Sheba (שבא). The slight difference between the two words is attained when the ayin from "seven" is replaced with an aleph for "Sheba".
Beginning from position 69 in pi are the three digits 640, the gematria value of שמש (shemesh, meaning "sun"), the most significant of the "great lights" in the firmament of heaven. |
- the gematria value of ιησους ("Jesus") = 888
- the gematria value of אברהם ("Abraham") = 248
- 888 - 248 = 640
Queen of Sheba (מלכה שבא) has a gematria value of 398. The first occurrence of 398 in pi begins from position 2020:
Melchizedek; Priest of The Most High God
Melchizedek (Melchisedec in the New Testament), is the king of Salem (later Jerusalem) and priest of the most high God (El Elyon) see Gen 14:18.
According to a study on Hebrews at nazarene.net:
Sha’ul (Paul) identifies Yeshua with the Melchizadek figure in Ps. 110:4. While the Talmud identifies Melchizadek as a son of Shem (b.Nedarim 32b) the Qumran community had a more mystical view. In a document found among the Dead Sea Scrolls (11Q13) Melchizadek is presented as a future Messianic figure who would redeem those that are his. This Melchizadek is called in the Qumran document "el" and "elohim," moreover Is. 61:1-3 is quoted in reference to him with "Melchizadek" substituted for YHWH.
The Hebrew words El and Elohim primarily mean "God", but in certain contexts, elohim designates a "judge". Melchizedek is seen as presiding over the final judgement and condemnation of his demonic counterpart Belial/Satan, expected to occur on the Day of Atonement at the end of the tenth Jubilee cycle.
And your ELOHIM is [Melchizedek, who will save them from] the hand of Belial. As for that which He said, "Then you shall send abroad the trump[et in] all the land (Lev 25:9) 11Q13 The Heavenly Prince Melchizedek.
The phrase "And your ELOHIM is [Melchizedek]" has stunning confirmation within the decimal digits of pi.
- in Greek, the term "after the order of Melchisedec" (κατα την ταξιν μελχισεδεκ) from Heb 5:6 has a gematria value of 2020
- in Hebrew, the term "after the order of Melchizedek" (על דברתי מלכי צדק) from Psa 110:4 has a gematria value of 1010 = 2020/2
According to a study on Hebrews at nazarene.net:
Sha’ul (Paul) identifies Yeshua with the Melchizadek figure in Ps. 110:4. While the Talmud identifies Melchizadek as a son of Shem (b.Nedarim 32b) the Qumran community had a more mystical view. In a document found among the Dead Sea Scrolls (11Q13) Melchizadek is presented as a future Messianic figure who would redeem those that are his. This Melchizadek is called in the Qumran document "el" and "elohim," moreover Is. 61:1-3 is quoted in reference to him with "Melchizadek" substituted for YHWH.
The Hebrew words El and Elohim primarily mean "God", but in certain contexts, elohim designates a "judge". Melchizedek is seen as presiding over the final judgement and condemnation of his demonic counterpart Belial/Satan, expected to occur on the Day of Atonement at the end of the tenth Jubilee cycle.
And your ELOHIM is [Melchizedek, who will save them from] the hand of Belial. As for that which He said, "Then you shall send abroad the trump[et in] all the land (Lev 25:9) 11Q13 The Heavenly Prince Melchizedek.
The phrase "And your ELOHIM is [Melchizedek]" has stunning confirmation within the decimal digits of pi.
- יהוה (YHWH) has a gematria value of 26, and the first 26 digits of pi sum to 126
- κατα την ταξιν μελχισεδεκ (after the order of Melchizedek) has a gematria value of 2020, which is the sum of the first 460 digits of pi
- the first occurrence of 460 in pi begins from position 126
The following four digits are 9550. There is only one verse in the Bible with this gematria value, and it refers to a Psalm supporting the concept of an angelic hierarchy in heaven:
"And David himself saith in the book of Psalms, The LORD said unto my Lord, Sit thou on my right hand," Luk 20:42
και αυτος δαβιδ λεγει εν βιβλωι ψαλμων ειπεν ο κυριος τωι κυριωι μου καθου εκ δεξιων μου
31 971 21 53 55 854 1621 150 70 800 1110 1340 510 500 25 929 910 = 9550
David himself said in the book of Psalms:
"The LORD (YHWH) said unto my Lord (Adonai), Sit thou at my right hand, until I make thine enemies thy footstool." Psa 110:1
This is the first verse in the 110th Psalm. The first occurrence of 110 in pi is followed by the first occurrence of 555.
"And David himself saith in the book of Psalms, The LORD said unto my Lord, Sit thou on my right hand," Luk 20:42
και αυτος δαβιδ λεγει εν βιβλωι ψαλμων ειπεν ο κυριος τωι κυριωι μου καθου εκ δεξιων μου
31 971 21 53 55 854 1621 150 70 800 1110 1340 510 500 25 929 910 = 9550
David himself said in the book of Psalms:
"The LORD (YHWH) said unto my Lord (Adonai), Sit thou at my right hand, until I make thine enemies thy footstool." Psa 110:1
This is the first verse in the 110th Psalm. The first occurrence of 110 in pi is followed by the first occurrence of 555.
- the word "Christ" appears 555 times in the Bible (KJV)
"For this is the moment of the Year of Grace for Melchizedek. [And h]e will, by his strength, judge the holy ones of God, executing judgement as it is written concerning him in the Songs of David, who said, "ELOHIM has taken his placein the divine council; in the midst of the gods he holds judgement (Psalms LXXXI, 1)." 11Q13 The Heavenly Prince Melchizedek
"God (Elohim) standeth in the congregation of the mighty; he judgeth among the gods (elohim)." Psa 82:1
This is verse number 15,235 in the Bible (KJV), and this string is a standout in pi:
"God (Elohim) standeth in the congregation of the mighty; he judgeth among the gods (elohim)." Psa 82:1
This is verse number 15,235 in the Bible (KJV), and this string is a standout in pi:
The first occurrence of 15235 in pi begins from position 55,617 and is followed by those same five digits 55617. The next three digits are 276, the number of souls saved from the shipwreck (Acts 27:37). The term διακοσιαι εβδομηκονταεξ (two hundred threescore and sixteen) has a gematria value of 961. The first occurrence of 961 in pi is preceded by the second occurrence of 555.
Acts 27:37 is verse number 27,893 in the Bible (KJV). The first occurrence of 27893 in pi is followed by those same three digits, 555.
The word "Christ" appears 555 times in the KJV. The first and second occurrences of 555 in pi begin from positions 177 and 1,232.
The first occurrence of 1409 in pi is followed by the gematria value of Moses' great Messianic prophesy:
- 177 + 1232 = 1409
The first occurrence of 1409 in pi is followed by the gematria value of Moses' great Messianic prophesy:
"The LORD thy God will raise up unto thee a Prophet from the midst of thee, of thy brethren, like unto me; unto him ye shall hearken;" Deu 18:15
נביא מקרבך מאחיך כמני יקים לך יהוה אלהיך אליו תשמעון
866 47 66 26 50 160 120 79 362 63 = 1839
נביא מקרבך מאחיך כמני יקים לך יהוה אלהיך אליו תשמעון
866 47 66 26 50 160 120 79 362 63 = 1839
Melchizedek is first introduced in the book of Genesis as he met Abraham, who was returning victorious from battle during which he rescued his nephew Lot:
"And Melchizedek king of Salem brought forth bread and wine: and he was the priest of the most high God." Gen 14:18
ומלכי צדק מלך שלם הוציא לחם ויין והוא כהן לאל עליון
166 61 75 18 76 78 112 370 90 194 106 = 1346
"And Melchizedek king of Salem brought forth bread and wine: and he was the priest of the most high God." Gen 14:18
ומלכי צדק מלך שלם הוציא לחם ויין והוא כהן לאל עליון
166 61 75 18 76 78 112 370 90 194 106 = 1346
- this verse has a gematria value of 1346
- the term כהן לאל עליון (priest of the most high God) has a gematria value of 302
- the first 302 decimal digits of pi sum to 1346 !
The Queen of Sheba came to test Solomon with hard questions, all of which he answered to her satisfaction.
- the word "Solomon" appears in 253 Bible verses (KJV)
- 253 is the 7th star number
- the word "Solomon" and the term "queen of Sheba" appear together in 7 Bible verses (KJV)
In Hebrew, כוכב ("star") has a gematria value of 48. The first occurrence of 48 in pi is followed by the three digits 253 (the star of Solomon):
After Solomon's prayer of dedication (2 Ch 6:12-42), the divine Presence filled the Temple (2 Ch 7:1-2). In the seventh month (Tishrei), they observed the dedication of the altar seven days, after which Solomon - and all Israel with him - kept the feast (the seventh feast - Tabernacles) a further seven days (2 Ch 7:8-9).
The divine Presence which filled the Temple was כבוד יהוה ("the glory of the LORD").
Following the seven days of Sukkot, there is a sacred assembly on the eighth day called Shemini Atzeret (see Lev 23:33-36). This extra day is celebrated on 22 Tishrei, the eighth day of the feast of Tabernacles (הסכות).
Shemini Atzeret is considered the eighth day of the celebration of Sukkot and represents Ha Olam Haba ("the world to come"), which follows after the Millennium. The Millenium follows six thousand years since creation, which continues the sabbath pattern established when God rested on the seventh day from all his work (Gen 2:2-3).
- the term כבוד יהוה ("the glory of the LORD") appears 28 times in 27 verses in the Tanakh
- the first occurrence of 27 in pi begins from position 28
- 28 is the 7th triangle number
- the feast of Tabernacles (Sukkot) is celebrated for seven days from 15-21 Tishrei
- occupying positions 15-21 in pi are the digits 3238462, which sum to 28
- "the glory of the LORD" filled Solomon's Temple in 2 Ch 7:1, which has a gematria value of 3996
- 3996 + 541 (Israel) = 4537, the 28th star number (see Pearls of Wisdom)
Following the seven days of Sukkot, there is a sacred assembly on the eighth day called Shemini Atzeret (see Lev 23:33-36). This extra day is celebrated on 22 Tishrei, the eighth day of the feast of Tabernacles (הסכות).
- the word הסכות (haSukkot, meaning "the feast of Tabernacles") appears 8 times in the Tanakh
Shemini Atzeret is considered the eighth day of the celebration of Sukkot and represents Ha Olam Haba ("the world to come"), which follows after the Millennium. The Millenium follows six thousand years since creation, which continues the sabbath pattern established when God rested on the seventh day from all his work (Gen 2:2-3).
- the term וביום השביעי ("And on the seventh day") has a gematria value of 461, which is the 89th prime number
- beginning from position 89 in pi are the three digits 253, the 7th star number
- the first occurrence of 89 in pi begins from position 11
- the word שבתון ("sabbath observance") appears 11 times in the Tanakh
- the word "sabbath" appears 137 times in the Bible (KJV)
- beginning from position 137 in pi are the three digits 317, followed by 253
- 137 and 317 are the 33rd and 66th prime numbers
- 33 + 66 = 99
- the first occurrence of 99 in pi is followed by 375, the gematria value of שלמה (Solomon)
- beginning from position 33 in pi are the three digits 288
- the first occurrence of 461 ("And on the seventh day") begins from position 218 in pi
- the term יום השביעי ("the seventh day") has a gematria value of 453
- the first occurrence of 453 in pi is preceded by the three digits 218
- the first occurrence of 218 in pi is followed by 611, the gematria value of תורה (Torah)
- the term "queen of Sheba" appears in 8 Bible verses (KJV)
- 253 (decimal) = 375 (base 8)
- the gematria value of "Solomon" (שלמה) = 375
- the word "Sheba" appears in 32 Bible verses (KJV)
- beginning from position 32 in pi are the four digits 0288
- (0)288 is the totient of 888 ("Jesus")
- the gematria value of Ιησους Χριστος ("Jesus Christ") = 2368
- 2 x 3 x 6 x 8 = 288
- the first occurrence of 2368 in pi is followed by the three digits 288
Solomon (שלמה) means "peace" (Strongs H8010). The word "peace" appears in 400 Bible verses (KJV). Beginning from position 400 in pi are the three digits 433, which is the 9th star number.
Abram (Abraham) was 99 years old when the Almighty God said, Be thou perfect:
"And when Abram was ninety years old and nine, the LORD appeared to Abram, and said unto him, I am the Almighty God; walk before me, and be thou perfect." Gen 17:1
ויהי אברם בן תשעים שנה ותשע שנים וירא יהוה אל אברם ויאמר אליו אני אל שדי התהלך לפני והיה תמים
490 26 170 460 314 31 61 47 257 243 31 26 217 400 776 355 820 53 243 31 = 5050
In Hebrew, תמים ("perfect" ) has a gematria value of 490. The first occurrence of 490 in pi is preceded by the three digits 253 (the 7th star number and the number of times the word "Solomon" appears in the Bible (KJV)):
"And when Abram was ninety years old and nine, the LORD appeared to Abram, and said unto him, I am the Almighty God; walk before me, and be thou perfect." Gen 17:1
ויהי אברם בן תשעים שנה ותשע שנים וירא יהוה אל אברם ויאמר אליו אני אל שדי התהלך לפני והיה תמים
490 26 170 460 314 31 61 47 257 243 31 26 217 400 776 355 820 53 243 31 = 5050
- 5050 is the 100th triangle number
- Abraham was 99 years old when God said, walk before me, and be thou perfect
- the word "perfect" appears 99 times in the Bible (KJV)
- 99 (decimal) = 120 (base 9)
- the Queen of Sheba gave King Solomon 120 talents of gold (1Ki 10:10; 2Ch 9:9)
In Hebrew, תמים ("perfect" ) has a gematria value of 490. The first occurrence of 490 in pi is preceded by the three digits 253 (the 7th star number and the number of times the word "Solomon" appears in the Bible (KJV)):
The first occurrence of 99 is followed by the three digits 375, which is the gematria value of שלמה (Solomon):
The Lord of The Sabbath
After Solomon's prayer of dedication, fire descended from heaven and the "the glory of the LORD" (כבוד יהוה) filled the Temple (2 Ch 7:1-3).
- the term כבוד יהוה ("the glory of the LORD") has a gematria value of 58
- the 58th prime number is 271
- beginning from position 271 in pi are the three digits 454
* For an irrational number search engine, click here.
"Let them give glory unto the LORD, and declare his praise in the islands." Isa 42:12
ישימו ליהוה כבוד ותהלתו באיים יגידו
33 63 847 32 56 366 = 1397
The phrase "Let them give glory unto the LORD" (ישימו ליהוה כבוד) has a gematria value of 454. The first occurrence of 454 in e is followed by the three digits 424, the gematria value of משיח בן דוד (Moshiach ben David). When the Pharisees accused the disciples of illegally harvesting grain on the sabbath day, Jesus in his defense referred to David as a biblical precedent (Mat 12:3-4). Jesus explained that one greater than the temple is here (Mat 12:6).
In Hebrew, בן-אדם (ben Adam, meaning "Son of man") has a gematria value of 97. The first occurrence of 97 in pi is preceded by the three digits 358, the gematria value of משיח (Moshiach, meaning "Messiah"). The term בן-אדם (ben Adam) appears 99 times in the Tanakh, which as you will see is the first of many repdigit coincidences in this narrative.
Jesus continued his response to the Pharisees by explaining that grace takes precedence over sacrifices (Mat 12:7 cf Hos 6:6), and not that sacrifices should be condemned.
"Let them give glory unto the LORD, and declare his praise in the islands." Isa 42:12
ישימו ליהוה כבוד ותהלתו באיים יגידו
33 63 847 32 56 366 = 1397
- the first occurrence of 1397 in pi is followed by the three digits 888
- the gematria value of Ιησους ("Jesus") is 888
The phrase "Let them give glory unto the LORD" (ישימו ליהוה כבוד) has a gematria value of 454. The first occurrence of 454 in e is followed by the three digits 424, the gematria value of משיח בן דוד (Moshiach ben David). When the Pharisees accused the disciples of illegally harvesting grain on the sabbath day, Jesus in his defense referred to David as a biblical precedent (Mat 12:3-4). Jesus explained that one greater than the temple is here (Mat 12:6).
In Hebrew, בן-אדם (ben Adam, meaning "Son of man") has a gematria value of 97. The first occurrence of 97 in pi is preceded by the three digits 358, the gematria value of משיח (Moshiach, meaning "Messiah"). The term בן-אדם (ben Adam) appears 99 times in the Tanakh, which as you will see is the first of many repdigit coincidences in this narrative.
- the first occurrence of 99 in pi begins from position 44
- the term "son of man" appears 196 times in the Bible (KJV)
- the first occurrence of 196 in pi is followed by the two digits 44, then 288
- 288 is the totient of 888, the gematria value of Ιησους ("Jesus")
Jesus continued his response to the Pharisees by explaining that grace takes precedence over sacrifices (Mat 12:7 cf Hos 6:6), and not that sacrifices should be condemned.
"For the Son of man is Lord even of the sabbath day." Mat 12:8
The Greek word σαββατον ("sabbath") has a gematria value of 626, which is a diminution of this verses' total gematria value, 6226.
The perimeter count of the 433 star is 96. The first occurrence of 96 in pi is preceded by the three digits 555. The word "Christ" appears 555 times in the Bible (KJV).
Lamech named him Noah (Noach) saying, This one will comfort us (Gen 5:29), connecting Noah with נחם (Nacham, meaning "to comfort").
"Comfort ye, comfort ye my people, saith your God." Isa 40:1
The phrase "Comfort ye, comfort ye my people" (נחמו נחמו עמי) has a gematria value of 328. The first occurrence of 328 in pi begins from position 111.
After the birth of Noah, Lamech lived a further 595 years. The first occurrence of 595 in pi is followed by those same three digits 919, the gematria value of Μελχισεδεκ (Melchisedec). For more on Melchizedek/Melchisedec, see The Stars of Heaven.
The Greek word σαββατον ("sabbath") has a gematria value of 626, which is a diminution of this verses' total gematria value, 6226.
- the first occurrence of 6226 in pi begins from position 33,311.
- 33 + 311 = 433, the 9th star number
The perimeter count of the 433 star is 96. The first occurrence of 96 in pi is preceded by the three digits 555. The word "Christ" appears 555 times in the Bible (KJV).
- 433 is the 84th prime number
- the term "Lord Jesus Christ" appears 84 times in the Bible (KJV)
- the term "son of man" appears in 84 verses in the New Testament (KJV)
- the first occurrence of 84 in pi begins from position 16
- the term "the glory of God" appears 16 times in the Bible (KJV)
- the first occurrence of 626 in pi is preceded by the two digits 84, and followed by the three digits 344
- 433 + 344 = 777
- Lamech (the father of Noah) lived 777 years
- the gematria value of נח (Noah) is 58, the same as כבוד יהוה ("the glory of the LORD")
Lamech named him Noah (Noach) saying, This one will comfort us (Gen 5:29), connecting Noah with נחם (Nacham, meaning "to comfort").
- Noah's name reversed is חן (chen, meaning "grace")
- the word חן ("grace") appears 66 times in the Tanakh
- the word "comfort" appears 66 times in the Bible (KJV)
- there are 66 Books in the Bible
"Comfort ye, comfort ye my people, saith your God." Isa 40:1
The phrase "Comfort ye, comfort ye my people" (נחמו נחמו עמי) has a gematria value of 328. The first occurrence of 328 in pi begins from position 111.
- the 328th prime number is 2203
- the first occurrence of 2203 in pi is followed by the three digits 919
After the birth of Noah, Lamech lived a further 595 years. The first occurrence of 595 in pi is followed by those same three digits 919, the gematria value of Μελχισεδεκ (Melchisedec). For more on Melchizedek/Melchisedec, see The Stars of Heaven.
The Pharisees' strict interpretation of the law deemed the plucking of a few ears of corn "work" by the hungry disciples, forgetting that the Sabbath is a time of delight (Isa 58:13-14).
"Remember the sabbath day, to keep it holy." Exo 20:8, verse # 2060 (KJV)
The phrase "Remember the sabbath day" (זכור את יום השבת) has a gematria value of 1397, the same as "the glory of God" (η γαρ δοξα του θεου) Rev 21:23.
Exo 20:8 is the 2060th verse in the KJV. The first occurrence of 2060 in pi is followed by the three digits 999, and begins from position 23,985.
The first occurrence of 777 in phi (the golden ratio) is preceded by the three digits 111, and begins from position 444.
"Remember the sabbath day, to keep it holy." Exo 20:8, verse # 2060 (KJV)
The phrase "Remember the sabbath day" (זכור את יום השבת) has a gematria value of 1397, the same as "the glory of God" (η γαρ δοξα του θεου) Rev 21:23.
Exo 20:8 is the 2060th verse in the KJV. The first occurrence of 2060 in pi is followed by the three digits 999, and begins from position 23,985.
- 23 + 985 = 1008
- 1008 adds 9 rows to the 5778 triangle
- Lamech lived 777 years
- 777 adds 7 rows to the 5778 triangle
The first occurrence of 777 in phi (the golden ratio) is preceded by the three digits 111, and begins from position 444.
- 777 + 111 + 444 = 1332, the gematria value of αλφα ω (Alpha and the Omega)
Before 111 are the three digits 177. The words "Lord" and "Jesus" appear together in 177 Bible verses (KJV).
The following four digits are 8053, then the 153 made famous by the miraculous catch of fish in Joh 21:11.
The debate about whether plucking grains on the Sabbath represents a violation of the law will be superfluous in the world to come, when there will be no such thing as hunger:
"They shall hunger no more, neither thirst any more; neither shall the sun light on them, nor any heat." Rev 7:16
ου πεινασουσιν ετι ουδε διψησουσιν ετι ουδε μη πεσηι επ αυτους ο ηλιος ουδε παν καυμα
470 1076 315 479 1652 315 479 48 303 85 1371 70 318 479 131 462 = 8053
- beginning from position 177 in pi are the three digits 555
- the word "Christ" appears 555 times in the Bible (KJV)
The following four digits are 8053, then the 153 made famous by the miraculous catch of fish in Joh 21:11.
- beginning from position 153 in pi are the three digits 111
The debate about whether plucking grains on the Sabbath represents a violation of the law will be superfluous in the world to come, when there will be no such thing as hunger:
"They shall hunger no more, neither thirst any more; neither shall the sun light on them, nor any heat." Rev 7:16
ου πεινασουσιν ετι ουδε διψησουσιν ετι ουδε μη πεσηι επ αυτους ο ηλιος ουδε παν καυμα
470 1076 315 479 1652 315 479 48 303 85 1371 70 318 479 131 462 = 8053
- the word שבת (Shabbat, meaning "sabbath") appears in 36 verses in the Tanakh
- the term "glory of the LORD" appears in 36 verses in the Bible (KJV)
- the 36th triangle number is 666
- the 36th star number is 7561, the 960th prime number
The first occurrence of 950 in pi is preceded by the four digits 5778, the 107th triangle number.
- 777 adds 7 rows to the 5778 triangle
- 1008 adds 9 rows to the 5778 triangle
1008 is the gematria value of αρμαγεδδων (Armageddon) which appears once in the Bible (Rev 16:16). The word is a transliteration of the Hebrew הר מגידו (har megiddo, meaning "mountain" or "hills").
- Rev 16:16 gives 16 x 16 = 256
- the words "Jesus" and "Christ" appear together in 256 verses in the Bible (KJV)
- the term הר מגידו (har megiddo) has a gematria value of 267
The first occurrence of 267 in phi begins from position 196, and is followed by the two digits 88.
- the term "son of man" appears 196 times in the Bible (KJV)
- the term "son of man" appears 88 times in the New Testament (KJV)
- the 88th prime number is 457
- the first occurrence of 457 in phi is followed by the two digits 88, and begins from position 1118
- 1118 is the gematria value of the Shema (Hear, O Israel) Deu 6:4
- 1008 - 777 = 231
- the first occurrence of 231 in pi is followed by 7, then 253
- 253 is the 7th star number
- the perimeter of the 253 star = 72
- the term "the heaven" appears 72 times in the Bible (KJV)
- the first occurrence of 116 in pi begins from position 395
- the gematria value of השמים (haShamayim, meaning "the heaven") is 395
The 5778 Triangle
The Fibonacci and Lucas number sequences have intrigued amateur and professional mathematicians for centuries. The Fibonacci sequence begins with 0, 1 whilst the Lucas sequence begins with 2, 1. After that, the next integer in either sequence is simply found by adding the previous two numbers.
These number sequences appear frequently in nature, such as branching in trees, the arrangement of leaves on a stem, the spirals of a sunflower, the flowering of artichoke, an uncurling fern and the arrangement of a pine cone. Try it for yourself. Pick up a pine cone. Notice how the segments are arranged in spirals - one set of spirals going one way (in green in the picture), and another set of spirals going the other way (in red). Now count the number of spirals. It will always be a Fibonacci number, and the opposite spirals will always be an adjacent Fibonacci number. The same is true for pineapples, cauliflowers, broccoli, you name it.
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These numbers are closely related to the golden ratio. By dividing a number in either sequence by its predecessor, an approximation of the golden ratio, phi or φ is achieved. The higher the numbers, the more precise the approximation. It can never be exact because phi is an irrational number, which means it cannot be expressed as any two integers a/b.
For example, 5778 / 3571 = 1.618034... which is very close to the exact value of phi which is (1 + √5) / 2. Note that phi, the golden ratio, is not to be confused with Euler's totient function. Although both use the same Greek symbol φ, they are unrelated functions.
5778 is the sum of four consecutive Fibonacci numbers (...610, 987, 1597, 2584...), but what makes 5778 special is that despite an infinite number of Lucas numbers, it has been proven that only three of these are also triangular. Those numbers are 1, 3 and 5778. Remarkably, phi raised to the 18th power equals 5778.
The significance of number 18 can be appreciated when the 5778 triangle is deconstructed into 18 segments.
For example, 5778 / 3571 = 1.618034... which is very close to the exact value of phi which is (1 + √5) / 2. Note that phi, the golden ratio, is not to be confused with Euler's totient function. Although both use the same Greek symbol φ, they are unrelated functions.
5778 is the sum of four consecutive Fibonacci numbers (...610, 987, 1597, 2584...), but what makes 5778 special is that despite an infinite number of Lucas numbers, it has been proven that only three of these are also triangular. Those numbers are 1, 3 and 5778. Remarkably, phi raised to the 18th power equals 5778.
- L(18) = 5778
- φ¹⁸ = 5778
- 5778 = 18 x 321
The significance of number 18 can be appreciated when the 5778 triangle is deconstructed into 18 segments.
It can be seen that the Genesis 1:1 triangle (and its constituent parts) together with the mysterious triangular number 153 figure prominently in the 18 piece 5778 jigsaw. The overall picture is a tolerable illustration of the miraculous catch of fish outlined in John 21. The three pieces representing the sky total 1998, which is the gematria value of "In the beginning God created the heaven..." from Gen 1:1, whilst the 1088 trapezium (the boat upon the waters) matches the gematria value of Psalm 145:17.
"The LORD is righteous in all his ways, and holy in all his works"
צדיק יהוה בכל דרכיו וחסיד בכל מעשיו
426 52 88 240 52 26 204 = 1088
"The LORD is righteous in all his ways, and holy in all his works"
צדיק יהוה בכל דרכיו וחסיד בכל מעשיו
426 52 88 240 52 26 204 = 1088
- 153 x 13 = 1989
- mass of the sun = 1.989 x 10³⁰ kg
Notice how the key numbers from the 5778 triangle all reduce to 9:
- 5 + 7 + 7 + 8 = 27, and 2 + 7 = 9
- sky = 6 + 6 + 6 = 18, and 1 + 8 = 9
- water = 1 + 5 + 3 = 9
- boat = 1 + 0 + 8 + 8 + 7 + 0 + 3 = 27, and 2 + 7 = 9
- Psalm 145:17 gives 1 + 4 + 5 + 1 + 7 = 18, and 1 + 8 = 9
- sky - water = 1998 - 1989 = 9
- John 21:11 gives 21/11 = 1.9090909...
Without doubt, 5778 is an important gematria number. Of particular interest is that 5778 on the Hebrew calendar coincides with 2017-2018 on the Gregorian calendar.
5778 on the Hebrew Calendar
The Hebrew year 5778 coinciding with 2018 on the Gregorian calendar is significant, as it was in the year 2018 AM that God made the first covenant with Abraham. (AM = Anno Mundi, or years since creation). This was 70 years after Abraham's birth in 1948 AM. The new independent state of Israel was established in 1948 Gregorian, so 2018 will also be 70 years (or a generation, see Psalms 90:10) since then.
"The days of our years are threescore years and ten; and if by reason of strength they be fourscore years..." Ps 90:10a
"Verily I say unto you, This generation shall not pass, till all these things be fulfill ed." Mat 24:34
"Verily I say unto you, This generation shall not pass, till all these things be fulfill ed." Mat 24:34
- φ¹⁸ = 5778
- 5778 is the 107th triangular number.
- There are 107 verses spoken by Jesus in the sermon on the mount. (Matthew 5:3 - 7:27)
- surface temperature of the sun = 5778˚ K
The Hebrew word for mankind is spelled ADM, which many kabbalists say is an acronym for Adam - David - Moshiach. King David was born in 907 BCE, which is 2854 on the Hebrew calendar. David is the comprehensive soul of all mankind, and is the forerunner of Moshiach, who brings about redemption for all mankind. David lived for 70 years, so the midpoint of his life was in the 2889th year since creation. This year was also half way towards the year 5778!
It is said that Adam was created to live for 1,000 years, but gifted King David 70 years of his life (Zohar 1, 55a). Together, the years of the lives of Adam (930) and David (70) sum to the 1,000 years of the Messianic era (the millenium). You can read more about the significance of 5778 at kabbalahsecrets.com.
1776 in Prophecy
We have seen how 1776 can be organized into three pairs of Roman numerals, separating the numbers 1110 and 666 which form a Pythagorean triangle with 888.
Simply multiplying those numbers by three makes for an intriguing study:
Writing the Declaration of Independence, 1776 by Jean Leon Gerome Ferris (1863 - 1930). Thomas Jefferson (right), Benjamin Franklin (left), and John Adams (center) meet at Jefferson's lodgings in Philadelphia, to review a draft of the Declaration of Independence. Adams and Jefferson were the 2nd and 3rd Presidents of the United States. Both died on the same day - 4 Jul 1826, 50 years to the day after the signing of the Declaration of Independence, of which all three men were signatories.
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"The New Jerusalem was an important theme in the Puritan colonization of New England in the 17th century. The Puritans were inspired by the passages in Revelation about the New Jerusalem, which they interpreted as being a symbol for the New World. The Puritans saw themselves as the builders of the New Jerusalem on earth. This idea was foundational to American nationalism." - Wikipedia
"The eyes of the world will be upon us. We are as a city upon a hill, raised up. You may think we're in the howling wilderness. You may think we're out beyond the farthest beyond. But in fact, God's providence is such that as the latter days begin to unfold, this may indeed be the city, the new Jerusalem that's unfolding before not only our eyes but the eyes of the world." John Winthrop sermon to the Puritans on their journey to the New World. |
Read more about the notion that America was the New Jerusalem from the PBS Frontline program "Apocalypticism Explained - The Puritans".
According to the sages, Messiah must come (return) no later than 6000 years since creation. It can be sooner, but no later than this date. This is in keeping with the Sabbath pattern - 6000 years since creation followed by 1000 years of the millennium. A thousand years are equivalent to one day in the eyes of God, as is written in Psalms (90:4).
The Talmud (b.Avodah Zarah 9a) states the following:
"The world is to exist for six thousand years; the first two thousand years are to be void; the next two thousand years
are the period of the Torah, and the following two thousand years are the period of the Messiah."
The first letter of the Hebrew alphabet (aleph) can also be pronounced eleph, which means "thousand" and in Hebrew is spelled אלף which
has a millui (spelled out) gematria value of 1 + 30 + 80 = 111 (3 x 37). So six alephs have a literal and a numerical meaning:
For sure, man's number is up after 6,000 years! A further clue can be found in Genesis 1:1, who's 28 Hebrew letters include 6 alephs. These six alephs occupy letter numbers 3, 9, 10, 15, 23, and 26 of Genesis 1:1, and the sum of these numbers is 86, the gematria of Elohim (אלהים), the third word from Gen 1:1.
According to the sages, Messiah must come (return) no later than 6000 years since creation. It can be sooner, but no later than this date. This is in keeping with the Sabbath pattern - 6000 years since creation followed by 1000 years of the millennium. A thousand years are equivalent to one day in the eyes of God, as is written in Psalms (90:4).
The Talmud (b.Avodah Zarah 9a) states the following:
"The world is to exist for six thousand years; the first two thousand years are to be void; the next two thousand years
are the period of the Torah, and the following two thousand years are the period of the Messiah."
The first letter of the Hebrew alphabet (aleph) can also be pronounced eleph, which means "thousand" and in Hebrew is spelled אלף which
has a millui (spelled out) gematria value of 1 + 30 + 80 = 111 (3 x 37). So six alephs have a literal and a numerical meaning:
- literal meaning = 6 x 1,000 = 6,000
- millui gematria value = 6 x 111 = 666
For sure, man's number is up after 6,000 years! A further clue can be found in Genesis 1:1, who's 28 Hebrew letters include 6 alephs. These six alephs occupy letter numbers 3, 9, 10, 15, 23, and 26 of Genesis 1:1, and the sum of these numbers is 86, the gematria of Elohim (אלהים), the third word from Gen 1:1.
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