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A052029 Primes base 10 that remain primes in five bases b, 2<=b<=10, expansions interpreted as decimal numbers. 3
7, 43, 71, 163, 199, 283, 307, 367, 463, 571, 757, 1033, 1163, 1627, 1873, 2683, 3041, 3691, 3967, 4483, 4651, 4729, 4951, 4973, 5407, 6073, 6961, 7351, 7537, 8053, 8599, 9103, 9817, 10321, 10831, 11251, 11383, 11743, 12433, 12853, 13219, 14419, 14479 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Sebastian Petzelberger, Table of n, a(n) for n = 1..10000

C. Rivera, PP&P Puzzle 24: Primes in several bases

MATHEMATICA

Select[Prime[Range@ 1800], Count[PrimeQ /@ Table[FromDigits[IntegerDigits[#, i]], {i, 2, 10}], True] == 5 &] (* Michael De Vlieger, Mar 20 2015, after Harvey P. Dale at A052032 *)

PROG

(PARI) lista(nn, nb=5) = {forprime(p=2, nn, if (sum(b=2, 10, isprime(subst(Pol(digits(p, b)), x, 10))) == nb, print1(p, ", ")); ); } \\ Michel Marcus, Mar 21 2015

CROSSREFS

Cf. A038537, A052026-A052033.

Sequence in context: A118703 A139832 A139848 * A168026 A142102 A297306

Adjacent sequences:  A052026 A052027 A052028 * A052030 A052031 A052032

KEYWORD

nonn,base

AUTHOR

Patrick De Geest, Dec 15 1999

STATUS

approved

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Last modified January 17 20:36 EST 2020. Contains 330987 sequences. (Running on oeis4.)