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A052030 Primes base 10 that remain primes in four bases b, 2<=b<=10, expansions interpreted as decimal numbers. 3
19, 23, 37, 67, 79, 103, 127, 191, 193, 211, 229, 277, 311, 313, 337, 379, 409, 433, 443, 577, 613, 619, 631, 643, 647, 653, 787, 857, 883, 907, 919, 947, 997, 1021, 1039, 1087, 1097, 1123, 1171, 1279, 1423, 1429, 1447, 1459, 1471, 1567, 1597, 1669, 1693 (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

EXAMPLE

19 is 103_4, 31_6, 23_8 and 19_10.

MATHEMATICA

Select[Prime[Range@ 265], Count[PrimeQ /@ Table[FromDigits[IntegerDigits[#, i]], {i, 2, 10}], True] == 4 &] (* Michael De Vlieger, Mar 20 2015 after Harvey P. Dale at A052032 *)

CROSSREFS

Cf. A038537, A052026-A052033.

Sequence in context: A060269 A245382 A075585 * A045297 A039292 A043115

Adjacent sequences:  A052027 A052028 A052029 * A052031 A052032 A052033

KEYWORD

nonn,base

AUTHOR

Patrick De Geest, Dec 15 1999

STATUS

approved

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Last modified November 29 18:41 EST 2021. Contains 349416 sequences. (Running on oeis4.)