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A345713 Lexicographically earliest sequence of distinct prime terms such that the English names of the entries form the sequence A000040 (the prime numbers). See how in the Comments section. 4
5, 23, 22003, 11, 59, 3001, 7, 37, 101, 2, 41, 83, 29, 97, 3, 109, 19, 137, 223, 311, 71, 139, 31, 47, 149, 373, 13, 53, 163, 401, 67, 409, 367, 379, 197, 43, 113, 229, 257, 73, 107, 127, 151, 337, 199, 461, 499, 167, 233, 17, 503, 173, 313, 79, 331, 179, 103, 541, 577, 353, 569, 587, 227, 397, 263 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
The first English names of the sequence are:
FIVE, TWENTY-THREE, TWENTY-TWO THOUSAND THREE, ELEVEN, FIFTY-NINE, THREE THOUSAND ONE, SEVEN, THIRTY-SEVEN, ONE HUNDRED ONE, TWO, FORTY-ONE, EIGHTY-THREE, TWENTY-NINE, NINETY-SEVEN, THREE, ONE HUNDRED NINE, NINETEEN, ...
If we now take the 5th letter of the above English sequence (T), the 23rd (W) and the 22003rd (O) we spell T.W.O. and 2 is the first term of A000040 (the prime numbers). We then take the 11th letter of the sequence (T), the 59th (H), the 3001st (R), the 7th (E) and the 37th (E) to form T.H.R.E.E. and 3 is the next term of A000040. The letters in position 101, 2, 41 and 83 will spell F.I.V.E. and 5 is the next term of A000040. Etc.
This sequence is the lexicographically earliest permutation of A000040 with this property.
LINKS
CROSSREFS
Sequence in context: A120488 A309210 A345880 * A174106 A120660 A110720
KEYWORD
nonn,word
AUTHOR
Eric Angelini and Carole Dubois, Jun 24 2021
STATUS
approved

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Last modified March 28 13:35 EDT 2024. Contains 371254 sequences. (Running on oeis4.)