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

Author

Patrick De Geest, Dec 15 1999

Keywords

• nonn
• base

Links

• Sebastian Petzelberger, Table of n, a(n) for n = 1..10000
• C. Rivera, PP&P Puzzle 24: Primes in several bases

Crossrefs

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

Programs

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 *)