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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
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
Sequence in context: A023307 A163560 A252287 * A162023 A166957 A163651
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.)