A163651 - OEIS

A163651

Zero-less composite numbers such that exactly eight distinct anagrams are primes.

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

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OFFSET

1,1

COMMENTS

Zero-less terms of A163560.

LINKS

Zak Seidov, Table of n, a(n) for n = 1..2270

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

Cf. A163560

Sequence in context: A211684 A162023 A166957 * A122476 A361346 A289253

Adjacent sequences: A163648 A163649 A163650 * A163652 A163653 A163654

KEYWORD

base,nonn

AUTHOR

Zak Seidov, Aug 02 2009

STATUS

approved