A052027 Primes in base 10 that remain primes in seven bases b, 2<=b<=10, expansions interpreted as decimal numbers.

5, 9241, 17791, 330289, 391231, 1005481, 1210483, 2378143, 2469241, 2779939, 2840041, 6817501, 8320831, 9865711, 10871407, 11087191, 12259603, 13645393, 15665833, 16707883, 17694463, 25751863, 27794287, 31488481

Offset

1,1

Links

Sebastian Petzelberger, Table of n, a(n) for n = 1..1000

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

Mathematica

Select[Prime[Range@ 100000], Count[PrimeQ /@ Table[FromDigits[IntegerDigits[#, i]], {i, 2, 10}], True] == 7 &] (* Michael De Vlieger, Mar 21 2015, after Harvey P. Dale at A052032 *)

Crossrefs

Cf. A052026, A038537, A052027-A052033, A084482, A236356.

Sequence in context: A145530 A067816 A076629 * A109514 A022918 A212617

Adjacent sequences: A052024 A052025 A052026 * A052028 A052029 A052030

Keyword

nonn,base

Author

Patrick De Geest, Dec 15 1999

Extensions

Missing terms 2378143 and 2469241 added by Sebastian Petzelberger, Mar 21 2015

Status

approved