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Search: id:A059055
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| A059055 |
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Primes which can be written as (b^k+1)/(b+1) for positive integers b and k. |
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+0
4
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| 3, 7, 11, 13, 31, 43, 61, 73, 157, 211, 241, 307, 421, 463, 521, 547, 601, 683, 757, 1123, 1483, 1723, 2551, 2731, 2971, 3307, 3541, 3907, 4423, 4831, 5113, 5701, 6007, 6163, 6481
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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For (b^k+1)/(b+1) to be a prime, k must be an odd prime. 2=(0^0+1)/(0+1) has been excluded since neither b nor k would be positive.
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..3880
H. Dubner and T. Granlund, Primes of the Form (b^n+1)/(b+1), J. Integer Sequences, 3 (2000), #P00.2.7.
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EXAMPLE
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43 is in the sequence since (2^7+1)/(2+1)=129/3=43; indeed also (7^3+1)/(7+1)=344/8=43.
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CROSSREFS
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Cf. A002383, A059054.
Cf. A003424, A085104
Sequence in context: A074336 A086475 A053728 this_sequence A004061 A000572 A059568
Adjacent sequences: A059052 A059053 A059054 this_sequence A059056 A059057 A059058
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KEYWORD
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nonn
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), Dec 21 2000
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