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 A073125 a(n) is the least prime p(s) such that prime(s+n) - prime(s) is divisible by n. 3
 2, 3, 17, 5, 17, 5, 13, 29, 2, 13, 17, 11, 7, 11, 7, 7, 11, 7, 7, 67, 5, 47, 193, 43, 3, 3, 5, 53, 173, 41, 181, 31, 181, 41, 211, 31, 211, 181, 113, 29, 173, 13, 173, 19, 229, 181, 197, 17, 193, 13, 113, 17, 113, 619, 191, 13, 179, 173, 167, 743, 1499, 7, 1627, 733 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Michael De Vlieger, Table of n, a(n) for n = 1..1000 EXAMPLE n=1: a(1)=2 because 3 - 2 = 1 is divisible by 1. n=10: a(10) = 13 = p(6) because p(6+10) - 13 = p(16) - 13 = 53 - 13 = 40 is divisible by 10. MATHEMATICA Table[s = 1; While[! Divisible[Prime[s + n] - Set[p, Prime@s], n], s++]; p, {n, 64}] (* Michael De Vlieger, Jul 30 2017 *) PROG (PARI) a(n) = {s = 1; while ((prime(s+n) - prime(s)) % n, s++); prime(s); } \\ Michel Marcus, Dec 26 2013 CROSSREFS Cf. A073126, A073127. Sequence in context: A103898 A140383 A029913 * A171240 A078201 A361104 Adjacent sequences: A073122 A073123 A073124 * A073126 A073127 A073128 KEYWORD nonn AUTHOR Labos Elemer, Jul 16 2002 STATUS approved

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Last modified February 23 19:35 EST 2024. Contains 370283 sequences. (Running on oeis4.)