A052033 Primes base 10 that are never primes in any smaller base b, 2<=b<10, expansions interpreted as decimal numbers.

263, 269, 347, 397, 431, 461, 479, 499, 569, 599, 607, 677, 683, 719, 769, 797, 821, 929, 941, 1019, 1031, 1049, 1051, 1061, 1069, 1103, 1181, 1223, 1229, 1237, 1297, 1307, 1367, 1399, 1409, 1439, 1453, 1487, 1489, 1523, 1553, 1559, 1571, 1619, 1637

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@ 265], Count[PrimeQ /@ Table[FromDigits[IntegerDigits[#, i]], {i, 2, 9}], True] == 0 &] (* Michael De Vlieger, Mar 20 2015 after Harvey P. Dale at A052032 *)

Crossrefs

Cf. A038537, A052026-A052033, A236174, A236437, A235354, A235377.

Sequence in context: A241877 A270752 A224556 * A105008 A345577 A345834

Adjacent sequences: A052030 A052031 A052032 * A052034 A052035 A052036

Keyword

nonn,base

Author

Patrick De Geest, Dec 15 1999

Status

approved