A038537 Primes base 10 that remain primes in eight bases b, 2<=b<=10, when the expansions are interpreted as decimal numbers.

2, 3, 379081, 59771671, 146752831, 764479423, 1479830551, 3406187401, 5631714889, 7740024337, 8256310441, 8772257161, 9522879913, 10350894331, 12852250993, 14261996563, 16082349433, 16199980009, 17727606151

Offset

1,1

Links

Sebastian Petzelberger, Table of n, a(n) for n = 1..54 (terms up to 10^12).

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

Mathematica

Select[Prime[Range@ 50000], Count[PrimeQ /@ Table[FromDigits[IntegerDigits[#, i]], {i, 2, 10}], True] == 8 &] (* Michael De Vlieger, Mar 20 2015, after Harvey P. Dale at A052032 *)

Crossrefs

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

Sequence in context: A300191 A328211 A324154 * A338404 A235984 A120313

Adjacent sequences: A038534 A038535 A038536 * A038538 A038539 A038540

Keyword

nonn,base,hard,nice

Author

Carlos Rivera

Extensions

a(4)-a(7) found by Jack Brennen (see link) added by Patrick De Geest, Dec 15 1999

terms beyond a(7) from Sebastian Petzelberger, Mar 21 2015

Status

approved