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Search: id:A110586
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| A110586 |
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Squares of the form 6p+7 for p prime (A110015) that are squares of a prime. |
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+0
1
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| 25, 49, 121, 289, 361, 841, 1369, 1849, 2209, 2809, 3721, 5041, 5329, 6241, 7921, 9409, 10201, 11449, 11881, 16129, 29929, 36481, 39601, 49729, 58081, 63001, 69169, 73441, 78961, 100489, 134689, 151321, 157609, 187489, 192721, 196249, 201601
(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)=289 since 289=17^2 and 289=6*47+7.
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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: PW6:=[]: for z from 1 to 1 do for n from 1 to 10000 do p:=ithprime(n); m:=a*p+a+1; if ispower(m, 2) and isprime(sqrt(m)) then PW6:=[op(PW6), m] fi od; od;
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CROSSREFS
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Cf. A110014, A110015, A110016.
Sequence in context: A104777 A131706 A110015 this_sequence A046949 A137659 A020325
Adjacent sequences: A110583 A110584 A110585 this_sequence A110587 A110588 A110589
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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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