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 A084482 Primes base 10 that remain primes in all nine bases b, 2<=b<=10, when the expansions are interpreted as decimal numbers. 12
 50006393431, 727533146383, 2250332130313, 2651541199513, 4437592255351, 4877749016143, 6777899690983, 7417899095713, 7431376081543, 7766799025303, 9078654198463, 10712216924641, 12244626455491, 13562282568103, 14180813918071, 14833027106593, 19479075240913, 19971686697103, 23196986067193, 34431442237963, 36429184518721, 49198998504223 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS a(1) found by Jack Brennen on Jul 13 2001; remaining terms computed by Jack Brennen, Nov 15 2001. The number must end with 1, 3, 7, or 9 in each base from 2 to 10; thus must be congruent to: 1 (mod 2), 1 (mod 3), 1 or 3 (mod 4), 1 or 3 (mod 5), 1 (mod 6), 1 or 3 (mod 7), 1 or 3 or 7 (mod 8), 1 or 7 (mod 9), 1 or 3 or 7 or 9 (mod 10). LINKS Carlos Rivera, PP and P Puzzle 24: Primes in several bases PROG (PARI) isok(n) = sum(b=2, 10, isprime(subst(Pol(digits(n, b)), x, 10))) == 9; \\ Michel Marcus, Mar 22 2015 CROSSREFS Cf. A052026, A038537, A052027-A052033, A084482, A236356. Sequence in context: A092381 A195283 A179228 * A216019 A303585 A034654 Adjacent sequences:  A084479 A084480 A084481 * A084483 A084484 A084485 KEYWORD nonn,base,hard,nice AUTHOR Jack Brennen, Jun 29 2003 EXTENSIONS Thanks to David W. Wilson for proposing the sequence and W. Edwin Clark for verifying the terms using Maple's command isprime. STATUS approved

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Last modified October 23 22:15 EDT 2019. Contains 328373 sequences. (Running on oeis4.)