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 A306375 Lexicographically earliest sequence starting with a(1) = 12 with no duplicate terms such that [a(n) - (the n-th digit of the sequence)] is prime. 1
 12, 4, 6, 8, 10, 3, 2, 5, 7, 16, 9, 14, 11, 20, 18, 15, 24, 30, 13, 17, 32, 19, 38, 22, 21, 23, 26, 29, 42, 34, 44, 36, 40, 25, 48, 28, 46, 27, 31, 33, 39, 54, 43, 50, 45, 35, 49, 52, 41, 55, 56, 47, 51, 57, 62, 37, 63, 53, 61, 58, 65, 67, 69, 75, 71, 59, 73, 60, 64, 68, 70, 74, 76, 80, 66, 77, 83, 82, 72, 79, 87, 78, 86, 84 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Any a(1) < 12 would be in contradiction with the definition. LINKS Jean-Marc Falcoz, Table of n, a(n) for n = 1..20001 EXAMPLE The sequence starts with 12,4,6,8,10,3,2,5,7,16,9,14,11,20,18,15,... a(1) = 12 and [12 - 1 (the 1st digit of the sequence)] = 11 (prime); a(2) = 4 and [ 4 - 2 (the 2nd digit of the sequence)] = 2 (prime); a(3) = 6 and [ 6 - 4 (the 3rd digit of the sequence)] = 2; a(4) = 8 and [ 8 - 6 (the 4th digit of the sequence)] = 2; a(5) = 10 and [10 - 8 (the 5th digit of the sequence)] = 2; a(6) = 3 and [ 3 - 1 (the 6th digit of the sequence)] = 2; a(7) = 2 and [ 2 - 0 (the 7th digit of the sequence)] = 2; a(8) = 5 and [ 5 - 3 (the 8th digit of the sequence)] = 2; a(9) = 7 and [ 7 - 2 (the 9th digit of the sequence)] = 5 (prime); etc. CROSSREFS Cf. A306321 where the same idea is used. Sequence in context: A079792 A079791 A018812 * A139358 A004477 A328285 Adjacent sequences: A306372 A306373 A306374 * A306376 A306377 A306378 KEYWORD base,nonn AUTHOR Eric Angelini and Jean-Marc Falcoz, Feb 11 2019 STATUS approved

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Last modified September 8 18:41 EDT 2024. Contains 375753 sequences. (Running on oeis4.)