

A038537


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


17



2, 3, 379081, 59771671, 146752831, 764479423, 1479830551, 3406187401, 5631714889, 7740024337, 8256310441, 8772257161, 9522879913, 10350894331, 12852250993, 14261996563, 16082349433, 16199980009, 17727606151
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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, A052027A052033, A084482, A236356
Sequence in context: A300191 A328211 A324154 * A235984 A120313 A216981
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



