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Search: id:A049098
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| A049098 |
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Primes p such that p+1 is divisible by a square. |
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+0
5
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| 3, 7, 11, 17, 19, 23, 31, 43, 47, 53, 59, 67, 71, 79, 83, 89, 97, 103, 107, 127, 131, 139, 149, 151, 163, 167, 179, 191, 197, 199, 211, 223, 227, 233, 239, 241, 251, 263, 269, 271, 283, 293, 307, 311, 331, 337, 347, 349, 359, 367, 379, 383, 419, 431, 439, 443
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Numbers m such that A010051(m)*(1-A008966(m+1)) = 1. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), May 21 2009]
A160696(a(n)) > 1. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), May 24 2009]
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..1000
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EXAMPLE
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31 is here because 32 is divisible by a square, 16. 101 is not here because 102=2*3*17 is square-free.
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MAPLE
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with(numtheory): a := proc (n) if isprime(n) = true and issqrfree(n+1) = false then n else end if end proc: seq(a(n), n = 1 .. 500); [From Emeric Deutsch (deutsch(AT)duke.poly.edu), Jun 21 2009]
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CROSSREFS
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Sequence in context: A136059 A156284 A045419 this_sequence A119992 A023249 A090513
Adjacent sequences: A049095 A049096 A049097 this_sequence A049099 A049100 A049101
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KEYWORD
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nonn,easy,nice
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu)
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