A052031 Primes base 10 that remain primes in three bases b, 2<=b<=10, expansions interpreted as decimal numbers.

11, 13, 17, 29, 31, 47, 59, 61, 83, 89, 97, 101, 109, 149, 151, 179, 181, 197, 227, 241, 251, 281, 331, 349, 353, 359, 373, 383, 419, 421, 439, 449, 457, 487, 503, 541, 547, 563, 587, 601, 617, 659, 673, 709, 727, 733, 743, 751, 773, 811, 823, 877, 953, 967

Offset: 1

Author

Patrick De Geest, Dec 15 1999

Keywords

• nonn
• base

Examples

			11 is 23_4, 13_8 and 11_10.
		

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.

Programs

Mathematica

Select[Prime[Range@ 165], Count[PrimeQ /@ Table[FromDigits[IntegerDigits[#, i]], {i, 2, 10}], True] == 3 &] (* Michael De Vlieger, Mar 20 2015 after Harvey P. Dale at A052032 *)