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A163651
Zero-less composite numbers such that exactly eight distinct anagrams are primes.
1
1132, 1139, 1312, 1376, 1391, 1478, 1673, 1736, 1748, 1763, 1784, 1874, 2375, 2537, 2573, 2735, 3112, 3176, 3211, 3275, 3572, 3716, 3725, 3752, 4178, 4187, 4579, 4718, 4781, 4795, 4975, 5327, 5372, 5497, 5723, 5732, 5794, 5947, 5974, 6137, 6371, 6713
OFFSET
1,1
COMMENTS
Zero-less terms of A163560.
EXAMPLE
a(1)=1132 because exactly eight anagrams of 1132 are prime:
1123,1321,1213,1231,3121,2113,2131,2311.
MATHEMATICA
Select[Range[7000], DigitCount[#, 10, 0]==0&&CompositeQ[#]&&Count[ FromDigits/@ Permutations[IntegerDigits[#]], _?PrimeQ]==8&] (* Harvey P. Dale, Sep 06 2022 *)
CROSSREFS
Sequence in context: A211684 A162023 A166957 * A122476 A361346 A289253
KEYWORD
base,nonn
AUTHOR
Zak Seidov, Aug 02 2009
STATUS
approved