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Search: id:A110587
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| A110587 |
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Primes p such that 6q+7=p^2, q prime. |
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+0
1
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| 5, 7, 11, 17, 19, 29, 37, 43, 47, 53, 61, 71, 73, 79, 89, 97, 101, 107, 109, 127, 173, 191, 199, 223, 241, 251, 263, 271, 281, 317, 367, 389, 397, 433, 439, 443, 449, 457, 461, 479, 523, 541, 569, 577, 587, 613, 631, 647, 659, 677, 683, 691, 701, 739, 757
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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a(4)=17 since 6*47+7=289=17^2.
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MAPLE
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ispower := proc(n, b) andmap(proc(w) evalb(w[2] mod b = 0) end, ifactors(n)[2]) end: a:=6: SQP||a:=[]: for z from 1 to 1 do for n from 1 to 1000 do p:=ithprime(n); m:=a*p+a+1; if ispower(m, 2) and isprime(sqrt(m)) then SQPW||a:=[op(SQP||a), sqrt(m)] fi od; od; SQP||a;
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CROSSREFS
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Cf. A110014, A110015, A110016.
Sequence in context: A046133 A086136 A136052 this_sequence A072249 A076665 A124598
Adjacent sequences: A110584 A110585 A110586 this_sequence A110588 A110589 A110590
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KEYWORD
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nonn
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AUTHOR
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Walter A. Kehowski (wkehowski(AT)cox.net), Sep 13 2005
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