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

1,1

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.

Links

Table of n, a(n) for n=1..78.

Crossrefs

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

Sequence in context: A271250 A271539 A345879 * A242338 A217649 A333578

Adjacent sequences: A345711 A345712 A345713 * A345715 A345716 A345717

Keyword

nonn,word

Author

Eric Angelini and Carole Dubois, Jun 24 2021

Status

approved