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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 (list; graph; refs; listen; history; text; internal format)
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 * 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

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Last modified January 28 03:39 EST 2020. Contains 331317 sequences. (Running on oeis4.)