A345714 Lexicographically earliest sequence of distinct terms such that the English names of the entries form the sequence A000040 (the prime numbers). See how in the Comments section.

5, 12, 21, 40, 37, 39, 4, 7, 1, 2, 3, 10, 31, 13, 9, 19, 14, 32, 8, 34, 33, 45, 18, 11, 26, 27, 22, 15, 51, 53, 35, 50, 57, 52, 64, 42, 23, 65, 67, 44, 54, 38, 56, 77, 25, 83, 84, 68, 29, 6, 89, 76, 36, 16, 58, 62, 28, 93, 95, 61, 59, 96, 85, 66, 24, 86, 43, 88, 103, 69, 70, 71, 49, 73, 30, 17, 90, 104

Offset: 1

Author

Eric Angelini and Carole Dubois, Jun 24 2021

Keywords

• nonn
• word

Comments

The first English names of the sequence are:

FIVE, TWELVE, TWENTY-ONE, FORTY, THIRTY-SEVEN, THIRTY-NINE, FOUR, SEVEN, ONE, TWO, THREE, TEN, THIRTY-ONE, THIRTEEN, NINE, NINETEEN, FOURTEEN ...

If we now take the 5th letter of the above English sequence (T), the 12th (W) and the 21st (O) we spell T.W.O. and 2 is the first term of A000040 (the prime numbers). We then take the 40th letter of the sequence (T), the 37th (H), the 39th (R), the 4th (E) and the 7th (E) to form T.H.R.E.E. and 3 is the next term of A000040. The letters in position 1, 2, 3 and 10 will spell F.I.V.E. and 5 is the next term of A000040. Etc.

Crossrefs

Cf. A131744, A345711, A345712, A345713, A000040.