


The Most Famous Ratio in Mathematics
Pi, the ratio between a circle's diameter and circumference, has fascinated mathematicians since antiquity. Pi, which cannot be expressed as a ratio of two whole numbers, is an apparently endless string of digits approximately 3.14159… Pi is not "random" in the strict sense, because individual digits are mathematically fixed (modern computers have enabled mathematicians to calculate the value of pi to more than 13 trillion digits). But no evidence has yet been found that an increasingly accurate value of pi will ever reveal an end to the string or that there is any regular pattern to be found within it.


3.1415926535897932384626433832795028841971693993751058209749445923078164062862...
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Greek philosopher Plato first observed that no perfect circle exists in nature, as a perfect circle is a geometrical idealization. But nature's near perfect circles are a constant reminder that pi is transcendental in both senses of the word.
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Pi In The Bible
In the First Book of Kings, details of Solomon's Temple include the measurements of a "molten sea", or cast metal sea used for ritual baths. The dimensions of ten cubits diameter and thirty cubits circumference give only a rough approximation of pi (30/10 = 3) although others have speculated about a more accurate interpretation from this verse.
"And he made a molten sea, ten cubits from the one brim to the other: it was round all about, and his height was five cubits: and a line of thirty cubits did compass it round about." 1 Ki 7:23
Indeed, an equally accurate approximation of pi can be obtained by a division of chapter and verse (23/ 7 = 3.2857), whilst the median of the two gives an estimation identical to the familiar 22/7, or 3.1428...
But there is a far more accurate (albeit somewhat more tedious) method of calculating pi in the Bible. It can be found using the gematria values from the very first scriptural verse (Gen 1:1). This verse has 7 Hebrew words with a total of 28 letters. By dividing 28 times the product of the letters by seven times the product of the words, an approximation of the value of pi is given to an accuracy which wasn't surpassed until 499 AD by Chinese mathematician Zhou Chongzhi who used the fraction 355/113, and was not achieved in the West until the 15th Century.
"And he made a molten sea, ten cubits from the one brim to the other: it was round all about, and his height was five cubits: and a line of thirty cubits did compass it round about." 1 Ki 7:23
Indeed, an equally accurate approximation of pi can be obtained by a division of chapter and verse (23/ 7 = 3.2857), whilst the median of the two gives an estimation identical to the familiar 22/7, or 3.1428...
But there is a far more accurate (albeit somewhat more tedious) method of calculating pi in the Bible. It can be found using the gematria values from the very first scriptural verse (Gen 1:1). This verse has 7 Hebrew words with a total of 28 letters. By dividing 28 times the product of the letters by seven times the product of the words, an approximation of the value of pi is given to an accuracy which wasn't surpassed until 499 AD by Chinese mathematician Zhou Chongzhi who used the fraction 355/113, and was not achieved in the West until the 15th Century.
This formula gives an approximation of pi correct to five significant figures. The odds of obtaining this degree of accuracy using a random number generator are 10 x 10 x 10 x 10 x 10, or 1 in 100,000.
The Feynman Point AND Ezekiel's Oracle
π = 3.1415926535897 ... 134999999837297804995...
The Feynman Point is an improbable sequence of six 9's beginning at position 762 after the decimal point in pi. The odds of a repdigit of this length starting this early in pi's sequence is about 1 in 130 using the formula 1(10.1⁶) ⁷⁶⁷*10.
The most obvious of nature's circles are the two great lights created on the fourth day in the Book of Genesis.
"And God said, Let there be lights in the firmament of the heaven to divide the day from the night; and let them be for signs, and for seasons, and for days, and years: And let them be for lights in the firmament of the heaven to give light upon the earth: and it was so. And God made two great lights; the greater light to rule the day, and the lesser light to rule the night: he made the stars also." Gen 1:1416
The most obvious of nature's circles are the two great lights created on the fourth day in the Book of Genesis.
"And God said, Let there be lights in the firmament of the heaven to divide the day from the night; and let them be for signs, and for seasons, and for days, and years: And let them be for lights in the firmament of the heaven to give light upon the earth: and it was so. And God made two great lights; the greater light to rule the day, and the lesser light to rule the night: he made the stars also." Gen 1:1416
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The first mentioned reason for the creation of these great lights were that they should be for signs. The Hebrew word for signs is owth (אות) Strongs H226, which has a gematria value of 407 which is a divisor of 999999.
 999999 = 407 x 2457
"Son of man, what is that proverb that ye have in the land of Israel, saying, The days are prolonged, and every vision faileth?" Eze 12:22
בן אדם מה המשל הזה לכם על אדמת ישראל לאמר יארכו הימים ואבד כל חזון
71 50 13 105 237 271 541 445 100 90 17 375 45 45 52 = 2457
Proverb here refers to a common saying among the people. Ezekiel's oracle affirms the imminent fulfillment of God's visions and challenges those who proclaim false messages of peace.
The improbability of the string of nines so early in pi is surpassed by a similar sequence beginning at position 761 after the decimal point in 2π. This time, the sequence extends to seven 9's. The odds of a repdigit of this length so early in a random string are about 1 in 1,300 according to the formula 1(10.1⁷) ⁷⁶⁷*10.
2π = 6.283185307 ... 2269999999674595609990 ...
Even more remarkable is the second string of 9's occurring so soon thereafter. There are 31,102 verses in the Bible, so how strange that the intermediate numbers lead to the very next verse, to provide context to Ezekiel's oracle. Click here for an irrational number search engine (opens in new window).
"Tell them therefore, Thus saith the Lord GOD; I will make this proverb to cease, and they shall no more use it as a proverb in Israel; but say unto them, The days are at hand, and the effect of every vision." Eze 12:23
לכן אמר אליהם כה אמר אדני יהוה השבתי את המשל הזה ולא ימשלו אתו עוד בישראל כי אם דבר אליהם קרבו הימים ודבר כל חזון
71 50 212 105 308 86 206 41 30 543 80 407 386 37 17 375 401 717 26 65 241 25 86 241 100 = 4856
 beginning at position 67,459,560 after the decimal point in pi are the four digits 4856
"Tell them therefore, Thus saith the Lord GOD; I will make this proverb to cease, and they shall no more use it as a proverb in Israel; but say unto them, The days are at hand, and the effect of every vision." Eze 12:23
לכן אמר אליהם כה אמר אדני יהוה השבתי את המשל הזה ולא ימשלו אתו עוד בישראל כי אם דבר אליהם קרבו הימים ודבר כל חזון
71 50 212 105 308 86 206 41 30 543 80 407 386 37 17 375 401 717 26 65 241 25 86 241 100 = 4856
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There is also a 99 repdigit following shortly after the Feynman Point in pi. Again, the intermediate digits carry with them a portent.
 beginning at position 837,297,804 after the decimal point in pi are the three digits 276, immediately followed by repdigit 99
 276 is the number of souls saved from the shipwreck in Acts 27:37
 chapter and verse gives 27 x 37 = 999
In Acts Chapter 27 Paul was shipwrecked on his way to Italy to appeal to Caesar. After surviving a raging storm, the ship struck a sandbar and began to break apart on the island of Malta (Melita). The centurion commanded that they who were able to swim should cast themselves first into the sea (εξιεναι), and get to land (Acts 27:43). The rest scrambled to shore on boards, and miraculously all 276 on board the ship were saved.
 the 276th word in the Hebrew Bible is בימים (in the seas) Gen 1:22
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Within the first thousand digits of pi, there are four 3 digit numbers which each occur five times. Those numbers are 105, 171, 446 and 609.

"Look unto me, and be ye saved, all the ends of the earth: for I am God, and there is none else." Isa 45:22
פנו אלי והושעו כל אפסי ארץ כי אני אל ואין עוד
80 67 31 61 30 291 151 50 393 41 136 = 1331
 Isa 45:22 is verse number 18584 in the Bible
 1 + 8 + 5 + 8 + 4 = 26 (יהוה) YHWH
As can be seen from the distribution table, it's rare for any 3 digit number to occur more than five times within a string of 1000 random digits. We have already seen one such occurrence with the remarkable string of seven 9's in 2π, followed shortly thereafter by 999. This totals to 6 appearances of 999 within the first 1000 digits of 2π. It's more likely for a 3 string repdigit to appear more frequently, because 999 has a one in ten chance of becoming 9999 (which would count as two appearances of 999). A non repdigit, on the other hand, has to start all over again with a one in a thousand chance of recurrence. It thus becomes even more remarkable, that the sixfold appearance of a three digit number within the first 1000 digits of 3π is a non repdigit. One number among a thousand.
"If there be a messenger with him, an interpreter, one among a thousand, to shew unto man his uprightness:" Job 33:23
 the gematria value of this verse is 1595
 the words "LORD" and "God" appear together in 1595 Bible verses (KJV)
Pi And The Miraculous Catch Of 153 Fish
Three unusually specific numbers in the Bible have long been the subject of intrigue. Those numbers are 276 (souls saved in the shipwreck), 666 (the number of the beast) and 153 (the number of fishes caught in the net). Adding to the intrigue is that all three of these numbers are triangular, whilst 153 and 276 are also hexagonal. Hexagonal numbers are a subset of triangular numbers. All hexagonal numbers are triangular, but not all triangular numbers are hexagonal.
The number 153 appears once within the first thousand digits of π, and not at all within the first 1000 digits of 2π. No surprises there. But then a friend advised a check of 3π, on account of the Trinity. Surprisingly, 153 has 6 appearances within the first 1000 digits of 3π. The odds of a 3 digit number appearing six or more times within 1000 random digits are about 1 in 1680. Number 153 is special:
In the final chapter of John's Gospel, the disciples decided to go fishing, recalling their previous occupation but also symbolizing their new role of gathering believers. After an unsuccessful night and just after daybreak, the resurrected Jesus appeared to them for the third time since he was risen from the dead. He instructed them to cast their net on the right side of the boat, whereupon they caught 153 fishes in the net. 
3π =
9.42477796076937971538793014983850865259150819812531 74629248337769234492188586269958841044760263512039 46444259539846919941281533828651746695176078224385 44335235085230810581556331667893386884686479114589 32864329269978003383854269447013603494958136057274 36945700770381045831362979944640180821780747423821 17376101981894676452464456276288848776227514609310 36777710800339915916464613995641524408558245348282 99171811097278775859276558352145797835379315355644 22338713988824870205565725817467368381454903584738 95010200873219699292580641848391856742115721065395 82831108311617651528879530257154024455403008215396 00170438143579068248335731402827336882752091153616 44053227036748602904396487561131523768390677767706 26059868336387065882592103254479440889324313929881 55612163404999999511893414985317919519844828895578 50733783660407249079275669247600340551057857935645 13030009413516258659762599625144261851533007441910 79476047128626640619347868859164706136278125587334 55733415965136804198390057836298335877276492605967 
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It seems strange that Simon Peter firstly dresses, and then jumps into the sea (John 21:7). But recall the 276th word in the Hebrew Bible which is בימים (in the seas) Gen 1:22.
The six appearances of 153 in 3π begin at positions 17, 123, 443, 596, 645 and 888 after the decimal point.
 the sixth appearance of 153 begins at position 888 after the decimal point
 888 is the isopsephia value of ιησους ("Jesus")
 the "Feynman Point" begins from position 762 in pi
 beginning from position 762 within the decimal digits of the transcendental number e are the five digits 20868
 20 + 868 = 888
 the first occurrence of 762 in 3π is followed by the three digits 888
 17 + 123 + 443 + 596 + 645 + 888 = 2712
"I came near unto one of them that stood by, and asked him the truth of all this. So he told me, and made me know the interpretation of the things." Dan 7:16
קרבת על חד מן קאמיא ויציבא אבעא מנה על כל דנה ואמר לי ופשר מליא יהודענני
205 81 586 40 247 59 50 100 95 74 119 152 90 12 100 702 = 2712
 Dan 7:16 is verse number 21950 in the Bible
 2 + 1 + 9 + 5 + 0 = 17
 153 is the 17th triangular number
The miraculous catch of 153 has been depicted many times in art, and the boat on the water can be represented by an 18 piece jigsaw featuring familiar triangular numbers 153, 666, and 703. The triangular number 5778 is the 18th Lucas number and the golden ratio raised to the 18th power. Like 153 and 276, 5778 is also hexagonal. 5778 is one of only three 4 digit numbers to appear three times within the first 1000 digits of pi. The second and third occurrences are separated by the number 18.
3.14159...5778...7519577818577805321...
3.14159...5778...7519577818577805321...
A similarly appropriate aquatic scene is possible using fewer jigsaw pieces to construct the 5778 jigsaw.
It's interesting that the 13 x 153 triangles total 1989, which are the final four of the first 1000 digits of pi (after the decimal point). In Dan 9:19, for thine own sake (למענך) has a gematria value of 210, which is another triangular number. On the Hebrew calendar, the year 5778 corresponds with 20172018 on the Gregorian calendar. The mere mention of dates is generally met with a chorus of disapproval, with the naysayers pointing to a familiar verse in the Bible:
"But of that day and hour knoweth no man, no, not the angels of heaven, but my Father only." Mat 24:36
Sound advice, but this verse is also part of the pi narrative.
 Mat 24:36 has an isopsephia value of 8696
 the first four digits after the decimal point in π² are 8696
The first appearance of π in the scientific literature was in 1706 in a paper entitled Synopsis Palmariorum Matheseos (A Summary of Mathematical Achievements) by William Jones of Britain. It is thought that he (Jones) chose π either because it is first letter of the word for periphery (περιφέρεια) or because it is the first letter of the word for perimeter (περίμετρος). Or perhaps because of both. The first word of Mat 24:36 (περι) also begins with the Greek letter π.
There are 22 letters in the Hebrew alphabet. The first occurrence of 22 in pi is followed by the three digits 317.
Remarkably, the first occurrence of 317 in phi (the golden ratio) also begins from position 137:
 317 is the 66th prime number
 137 is the 33rd prime number
 66 + 33 = 99
In the original Greek New Testament, αμην (amen) has a numerical value of 99.
 the word "amen" appears in 72 Bible verses (KJV) including the last word (Rev 22:21)
 beginning from position 137 in e are the two digits 72
The word αμην (amen) is also translated as "verily" when it appears at the beginning of a discourse.
 the word "verily" appears in 99 New Testament verses (KJV)
The number 317 can be partitioned as 31 and 7.
 31 is the 11th prime number
 7 is also prime, and the 7th star number is the following three digits, 253
 253 is also the 22nd triangle number
317 is the 66th prime. In both pi and phi, the string 66 occurs once in the first 137 digits (beginning from positions 211 and 123 respectively.
 211  123 = 88
In contrast, the string 66 occurs 6 times within the first 137 digits of e.
 the first 6 66's in e begin from positions 31, 56, 69, 95, 104 and 129
 31 + 56 + 69 + 95 + 104 + 129 = 22²
But why stop there? Repdigits are always interesting, and little fish are sweet. The 11th, 22nd, 33rd, 44th, 55th, 66th, 77th, 88th and 99th prime numbers are 31, 79, 137, 193, 257, 317, 389, 457 and 523 respectively.
 the word "fish" appears in 31 Bible verses (KJV)
 31 + 79 + 137 + 193 + 257 + 317 + 389 + 457 + 523 = 2383
 2383 is the 354th prime number
 beginning from position 354 in pi are the four digits 2590
 "an hundred and fifty and three" (εκατον πεντηκοντατριων) from John 21:11 has a numerical value of 2590
The 153rd prime number is 883. Beginning from position 883 in pi are the 5 digits 42061, the 4398th prime number.
"If any man have ears to hear, let him hear." Mar 4:23
ει τις εχει ωτα ακουειν ακουετω
15 510 620 1101 556 1596 = 4398
Beginning from position 888 in pi (following 42061) are the four digits 7177.
Beginning from position 153 in pi is another repdigit, 111.
"If any man have ears to hear, let him hear." Mar 4:23
ει τις εχει ωτα ακουειν ακουετω
15 510 620 1101 556 1596 = 4398
Beginning from position 888 in pi (following 42061) are the four digits 7177.
 7177 is the 917th prime number
 the first occurrence of 917 in pi is followed by the three digits 153
Beginning from position 153 in pi is another repdigit, 111.
There are 153 Hebrew words in the first 12 Bible verses. The 12th prime number is 37, which is the common divisor of all three string repdigits. Within the 12th verse is the Bible's 137th word הארץ (haEretz, meaning "the earth").
The 935th Hebrew word in the Bible is הנחש (haNachash, meaning "the serpent"), when the woman said, The serpent beguiled me, and I did eat (Gen 3:13).
The guile of the serpent effectively ended the Edenic covenant, which was replaced by the Adamic covenant. The 358th Hebrew word in the Bible is ומלאו ("replenish"), when God said, Be fruitful.and multiply, and replenish the earth, and subdue it: and have dominion over the fish of the sea ... (Gen 1:28).
The word נחש ("serpent") is Strongs H5175 which is translated 31 times in the Bible (KJV), the 11th prime number.
The digits of 153 sum to 9. The "pi verse" in John's Gospel is the 9th appearance of "the serpent" in the Bible (KJV).
"And as Moses lifted up the serpent in the wilderness, even so must the Son of man be lifted up:" Joh 3:14
In the next verse, John continued:
"That whosoever believeth in him should not perish, but have eternal life." Joh 3:15
 הארץ ("the earth") has a gematria value of 296
 2 + 9 + 6 = 17
 153 is the 17th triangle number
 the 296th Hebrew word in the Bible is ארץ (eretz, meaning "earth")
 the word הארץ (haEretz, meaning "the earth") appears 935 times in the Tanakh (the Hebrew Bible)
 the word "Jesus" appears in 935 Bible verses (KJV)
The 935th Hebrew word in the Bible is הנחש (haNachash, meaning "the serpent"), when the woman said, The serpent beguiled me, and I did eat (Gen 3:13).
 נחש ("serpent") has a gematria value of 358
 משיח (Moshiach, meaning "Messiah") has a gematria value of 358
 Gen 3:13 has 12 Hebrew words
 the term "the serpent" appears in 12 Bible verses (KJV)
The guile of the serpent effectively ended the Edenic covenant, which was replaced by the Adamic covenant. The 358th Hebrew word in the Bible is ומלאו ("replenish"), when God said, Be fruitful.and multiply, and replenish the earth, and subdue it: and have dominion over the fish of the sea ... (Gen 1:28).
The word נחש ("serpent") is Strongs H5175 which is translated 31 times in the Bible (KJV), the 11th prime number.
 11 is the common divisor of all two string repdigits
 Gen 1:28 has 22 Hebrew words consisting of 88 letters
The digits of 153 sum to 9. The "pi verse" in John's Gospel is the 9th appearance of "the serpent" in the Bible (KJV).
"And as Moses lifted up the serpent in the wilderness, even so must the Son of man be lifted up:" Joh 3:14
In the next verse, John continued:
"That whosoever believeth in him should not perish, but have eternal life." Joh 3:15
Pi And Jesus, The Messiah
Approximations of pi can also be located within the pi string itself (after the decimal point). The first ten digits of pi are not to be found within the first 2 billion digits after the decimal point, but the first appearance of 314159265 begins at position 1,660,042,751.
 1 + 660 + 042 + 751 = 1454
"Oh that my people had hearkened unto me, and Israel had walked in my ways!" Psa 81:13
לו עמי שמע לי ישראל בדרכי יהלכו
71 236 541 40 410 120 36 = 1454
The first occurrence of 31415926 begins at position 50,366,472 after the decimal point in pi.
The first occurrence of 3141592 begins at position 25,198,140 after the decimal point in pi.

The word "Messiah" appears twice in the Tanakh, and also twice ("Messias") in the New Testament.
The probability of finding a 9 digit string within a random string of 2 billion digits is about 86%, whilst the probability of finding a 10 digit string falls to 18%. The first 10 digits of pi (3141592653) don't appear within the first 2 billion digits of pi. The only 10 string repdigit to appear within the first 2 billion digits of pi is 6666666666, which begins at position 386,980,412 after the decimal point.
"Ask thee a sign of the LORD thy God; ask it either in the depth, or in the height above." Isa 7:11
שאל לך אות מעם יהוה אלהיך העמק שאלה או הגבה למעלה
175 15 7 336 215 66 26 150 407 50 331 = 1778
"Nor height, nor depth, nor any other creature, shall be able to separate us from the love of God, which is in Christ Jesus our Lord." Rom 8:39
As well as the famous number of the beast from Rev 13:18, 666 is also the weight of gold that came to Solomon in one year. Strangely, the longest repdigit within the first 2 billion digits of pi indicates the relevant Bible verse:
3.14159 ... 6666666666914366 ...
The string of ten 6's beginning at position 386,980,412 after the decimal point in pi is shortly thereafter followed by repdigit 66. The intermediate four digits are 9143
 "Messiah" appears in Dan 9:25 and Dan 9:26
 "Messias" appears in John 1:41 and John 4:25
 (9 x 25) + (9 x 26) + (1 x 41) + (4 x 25) = 600
The probability of finding a 9 digit string within a random string of 2 billion digits is about 86%, whilst the probability of finding a 10 digit string falls to 18%. The first 10 digits of pi (3141592653) don't appear within the first 2 billion digits of pi. The only 10 string repdigit to appear within the first 2 billion digits of pi is 6666666666, which begins at position 386,980,412 after the decimal point.
 386 + 980 + 412 = 1778
"Ask thee a sign of the LORD thy God; ask it either in the depth, or in the height above." Isa 7:11
שאל לך אות מעם יהוה אלהיך העמק שאלה או הגבה למעלה
175 15 7 336 215 66 26 150 407 50 331 = 1778
"Nor height, nor depth, nor any other creature, shall be able to separate us from the love of God, which is in Christ Jesus our Lord." Rom 8:39
 the isopsephia value of Rom 8:39 = 17982 = 27 x 666
As well as the famous number of the beast from Rev 13:18, 666 is also the weight of gold that came to Solomon in one year. Strangely, the longest repdigit within the first 2 billion digits of pi indicates the relevant Bible verse:
3.14159 ... 6666666666914366 ...
The string of ten 6's beginning at position 386,980,412 after the decimal point in pi is shortly thereafter followed by repdigit 66. The intermediate four digits are 9143
 the totient of 9143 = 8880
 the first appearance of 8880 in pi begins at position 4752 after the decimal point
"Now the weight of gold that came to Solomon in one year was six hundred threescore and six talents of gold," 1 Ki 10:14
ויהי משקל הזהב אשר בא לשלמה בשנה אחת שש מאות ששים ושש ככר זהב
14 240 606 650 447 600 409 357 405 3 501 19 470 31 = 4752
 the acronym of the phrase six hundred threescore and six talents (שש מאות ששים ושש ככר) has a gematria value of 666
Rev 13:18 (verse #30927) appears 21,833 verses after 1 Ki 10:14 (verse #9094).
 2 x 1 x 8 x 3 x 3 = 144
In the Book of Revelation, 144,000 are the number who will receive the seal of God: 12,000 from each of the tribes of Juda, Reuben, Gad, Aser, Nepthalim, Manasses, Simeon, Levi, Issachar, Zabulon, Joseph and Benjamin (Rev 7:58). With a slight grammatical modification (you be the judge), the nominative spelling of these twelve tribes sums to 8880.
The seal of God that will protect the 144,000 chosen is associated with the mark (אות) that protected Cain from his pursuers in Gen 4:15. This Hebrew word owth Strongs H226 is translated a total of 79 times in the Bible as signs, tokens, miracle or mark. The equivalent word in the Aramaic sections of the Tanakh is את, Strongs H852 (aleph tav, the first and last of the 22 letter Hebrew alphabet).
 את has a gematria value of 401
 401 is the 79th prime number
 79 is the 22nd prime number
 the word "signs" appears in 22 New Testament verse (KJV)
The Aramaic word את ("signs") is translated three times in the Bible, all in the Book of Daniel. The first of these is the words spoken by Nebuchadnezzar in Dan 4:2.
"I thought it good to shew the signs and wonders that the high God hath wrought toward me."
אתיא ותמהיא די עבד עמי אלהא עליא עלאה שפר קדמי להחויה
64 154 580 106 111 37 120 76 14 462 412 = 2136
 the first three words אתיא ותמהיא די (signs and wonders) have a gematria value of 888
 888 is the isopsephia value of Ιησους ("Jesus")
 the sixth (אלהא) and eleventh (להחויה) words meaning "God" and "to shew" have gematria values of 37 and 64 respectively
 37 x 64 = 2368
 2368 is the isopsephia value of Ιησους Χριστος ("Jesus Christ")
"How great are his signs! and how mighty are his wonders! his kingdom is an everlasting kingdom, and his dominion is from generation to generation." Dan 4:3
Will the circle be unbroken
By and by, by and by?
Is a better home awaiting
In the sky, in the sky?
By and by, by and by?
Is a better home awaiting
In the sky, in the sky?
...
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