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Search: id:A084482
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| A084482 |
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Primes base 10 that remain primes in all nine bases b, 2<=b<=10, when the expansions are interpreted as decimal numbers. |
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+0
2
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| 50006393431, 727533146383, 2250332130313, 2651541199513, 4437592255351, 4877749016143, 6777899690983, 7417899095713, 7431376081543, 7766799025303, 9078654198463, 10712216924641, 12244626455491, 13562282568103, 14180813918071, 14833027106593, 19479075240913, 19971686697103, 23196986067193, 34431442237963, 36429184518721, 49198998504223
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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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).
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LINKS
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C. Rivera, PP and P Puzzle 24: Primes in several bases
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CROSSREFS
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Cf. A038537.
Adjacent sequences: A084479 A084480 A084481 this_sequence A084483 A084484 A084485
Sequence in context: A003940 A003933 A092381 this_sequence A034654 A015401 A015431
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KEYWORD
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nonn,base
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AUTHOR
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Jack Brennen (John.Brennen(AT)marconi.com), Jun 29 2003
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EXTENSIONS
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Thanks to David W. Wilson for proposing the sequence and Edwin Clark for verifying the terms using Maple's command isprime.
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