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 A211684 Numbers > 1000 such that all the substrings of length = 3 are primes (substrings with leading '0' are considered to be nonprime). 50
 1131, 1137, 1139, 1271, 1277, 1311, 1313, 1317, 1373, 1379, 1397, 1491, 1499, 1571, 1577, 1631, 1673, 1677, 1733, 1739, 1797, 1811, 1911, 1919, 1937, 1971, 1977, 1991, 1997, 2113, 2233, 2239, 2271, 2277, 2293, 2331, 2337, 2397, 2419, 2571 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Only numbers > 1000 are considered, since all 3-digit primes are trivial members. See A069489 for the sequence with prime terms > 1000. The sequence is infinite (for example, consider the continued concatenation of '19' or of '337': 1919, 19191, 191919, ..., 3373, 33733, 337337, ... are members). Infinitely many terms are palindromic. A 10-automatic sequence realized by a linear recurrence relation. - Charles R Greathouse IV, Jan 04 2013 LINKS Hieronymus Fischer, Table of n, a(n) for n = 1..3000 Index entries for 10-automatic sequences. EXAMPLE a(1) = 1131, since all substrings of length = 3 (113 and 131) are primes. a(33) = 2271, since all substrings of length = 3 (227, 271) are primes. CROSSREFS Cf. A019546, A035232, A039996, A046034, A069489, A085823, A211681, A211682. Sequence in context: A023307 A163560 A252287 * A162023 A166957 A163651 Adjacent sequences: A211681 A211682 A211683 * A211685 A211686 A211687 KEYWORD nonn,base,easy AUTHOR Hieronymus Fischer, Jun 08 2012 STATUS approved

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Last modified April 25 10:01 EDT 2024. Contains 371967 sequences. (Running on oeis4.)