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 A293666 Lexicographically earliest sequence of distinct positive integers such that the absolute value of the first difference contains only distinct prime numbers. 2
 1, 3, 6, 11, 4, 15, 2, 19, 38, 7, 30, 59, 12, 49, 8, 51, 104, 21, 80, 9, 70, 137, 10, 83, 162, 5, 94, 191, 18, 119, 16, 123, 14, 127, 258, 17, 154, 293, 22, 171, 20, 183, 350, 13, 192, 373, 24, 215, 408, 25, 222, 23, 234, 457, 26, 253, 482, 33, 266, 27, 278 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS This sequence is a variant of A081145 and of A230455. See A293667 for the first difference of this sequence. For n > 1, n is even iff a(n) is odd. LINKS Rémy Sigrist, PARI program for A293666 EXAMPLE The following table shows the first terms, alongside the first terms of the first difference: n       a(n)    a(n+1)-a(n) --      ----    ----------- 1       1       2 2       3       3 3       6       5 4       11      -7 5       4       11 6       15      -13 7       2       17 8       19      19 9       38      -31 10      7       23 11      30      29 12      59      -47 13      12      37 14      49      -41 15      8       43 16      51      53 17      104     -83 18      21      59 19      80      -71 20      9       61 PROG (PARI) See Links section. CROSSREFS Cf. A081145, A230455, A293667. Sequence in context: A083462 A110080 A304086 * A093903 A117128 A006509 Adjacent sequences:  A293663 A293664 A293665 * A293667 A293668 A293669 KEYWORD nonn AUTHOR Rémy Sigrist, Oct 14 2017 STATUS approved

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Last modified August 11 23:04 EDT 2020. Contains 336434 sequences. (Running on oeis4.)