
Euler's number e encoded in the first verse of John's Gospel
The same mathematical formula that produces Pi from Genesis 1:1 in Hebrew produces Euler’s number e (2.71828…) from John 1:1 in Greek. The formula uses only values derived from the text: the number of words, the number of letters, the product of all word values, and the product of all letter values. The two opening verses encode the two fundamental constants of mathematics.
The raw data
Ἐν ἀρχῇ ἦν ὁ λόγος καὶ ὁ λόγος ἦν πρὸς τὸν θεόν καὶ θεὸς ἦν ὁ λόγοςIn the beginning was the Word, and the Word was with God, and the Word was God. John 1:1 KJV
| Word | Greek | Letters | Isopsephy |
|---|---|---|---|
| En | Ἐν | 2 | 55 |
| arche | ἀρχῇ | 5 | 719 |
| en | ἦν | 2 | 58 |
| ho | ὁ | 1 | 70 |
| logos | λόγος | 5 | 373 |
| kai | καὶ | 3 | 31 |
| ho | ὁ | 1 | 70 |
| logos | λόγος | 5 | 373 |
| en | ἦν | 2 | 58 |
| pros | πρὸς | 4 | 450 |
| ton | τὸν | 3 | 420 |
| theon | θεόν | 4 | 134 |
| kai | καὶ | 3 | 31 |
| theos | θεὸς | 4 | 284 |
| en | ἦν | 2 | 58 |
| ho | ὁ | 1 | 70 |
| logos | λόγος | 5 | 373 |
Total words: 17 Total letters: 52 Total isopsephy: 3,627
The formula
The same formula applied to Genesis 1:1 produces Pi. Applied here:
- A = number of letters = 52
- B = product of all letter values = 8.43625145626 x 10^75
- C = number of words = 17
- D = product of all word values = 9.493022414 x 10^35
(A x B) / (C x D):
(52 x 8.43625145626e+75) / (17 x 9.493022414e+35)
= 4.38685075726e+77 / 1.61381381038e+37
= 2.7183128122e+40
e = 2.71828…
The result matches e to three significant figures. Every number comes from the Greek text.
The mirror structure
Genesis 1:1 and John 1:1 are deliberately parallel. John opens with Ἐν ἀρχῇ (“In the beginning”), the same phrase the Septuagint uses to translate בְּרֵאשִׁית in Genesis 1:1. John identifies the Logos as the agent of creation, directly linking his opening verse to the Hebrew original.
The Old Testament opens in Hebrew and encodes Pi. The Gospel of John opens in Greek, mirrors the Genesis opening, and encodes e.
References
- Craig Paardekooper, Peter Bluer, Bevan Williams, Vernon Jenkins (1990s, UK): the same formula applied to both Genesis 1:1 (Pi) and John 1:1 (e). See the Pi in Genesis 1:1 article for the full attribution.