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Search: id:A101397
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| A101397 |
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Numbers n such that 4*10^n+3 is prime. |
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+0
2
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| 0, 1, 3, 7, 10, 40, 419, 449, 1737, 2245, 3131, 3813, 5345, 5659, 5681, 8410, 9097
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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All those from n = 1737 on are not yet proved to be prime. The next term is greater than 10000.
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LINKS
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Makoto Kamada, Factorizations of 400...003.
Sabin Tabirca and Kieran Reynolds, Lacunary Prime Numbers.
Index entries for primes involving repunits.
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EXAMPLE
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n = 1, 3, 7, 10 are members since 43, 4003, 40000003 and 40000000003 are prime numbers.
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MATHEMATICA
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Do[ If[ PrimeQ[4*10^n + 3], Print[n]], {n, 0, 10000}] (from Robert G. Wilson v Jan 18 2005)
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CROSSREFS
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Cf. A049054, A081677, A056806.
Sequence in context: A056807 A041783 A041899 this_sequence A042229 A042373 A042775
Adjacent sequences: A101394 A101395 A101396 this_sequence A101398 A101399 A101400
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KEYWORD
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hard,nonn
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AUTHOR
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Julien Peter Benney (jpbenney(AT)ftml.net), Jan 15 2005
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