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A163562 Composite numbers such that exactly ten distinct permutations of digits are prime. 4
1079, 1790, 1795, 1798, 1897, 1957, 1970, 1975, 1978, 5719, 5917, 5971, 7091, 7189, 7190, 7195, 7198, 7519, 7819, 7891, 7910, 7915, 7918, 7981, 8197, 8791, 8917, 9017, 9071, 9107, 9170, 9175, 9178, 9517, 9571, 9701, 9710, 9715, 9718, 9751, 10019 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
EXAMPLE
a(1) = 1079 because 1079 is composite, the ten permutations 179, 197, 719, 971, 1097, 1709, 1907, 7019, 7109, and 7901 are all prime, and no other permutation of 1079 is prime.
MATHEMATICA
Select[Range[11000], CompositeQ[#]&&Count[FromDigits/@Permutations[IntegerDigits[#]], _?PrimeQ] ==10&] (* Harvey P. Dale, Jun 03 2023 *)
CROSSREFS
Sequence in context: A274234 A023085 A351672 * A214621 A179688 A159210
KEYWORD
easy,nonn,base
AUTHOR
Gil Broussard, Jul 30 2009
STATUS
approved

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Last modified March 28 05:01 EDT 2024. Contains 371235 sequences. (Running on oeis4.)