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Search: id:A155933
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| A155933 |
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Primes such that : a(n)=n^2+(n+1)^3 are primes. |
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+0
2
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| 31, 73, 241, 379, 2341, 3571, 6121, 9661, 20359, 47881, 51949, 60763, 65521, 119953, 135151, 291721, 305119, 378289, 394201, 427351, 537841, 689041, 736921, 761671, 921889, 1202041, 1271161, 1306693, 1494313, 1533871, 1742161, 1785961, 1875751
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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2^2+3^3=31, ...
For n^2+(n+1)^3 to be a prime, n can not be 1 modulo 3 whereas all a(n) are definitely 1 modulo 3. [From Avik Roy (avik_3.1416(AT)yahoo.co.in), Feb 13 2009]
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MATHEMATICA
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lst={}; Do[p=(n+2)^2+(n+3)^3; If[PrimeQ[p], AppendTo[lst, p]], {n, 0, 2*5!}]; lst...and/or...lst={}; Do[p=n^2+(n+1)^3; If[PrimeQ[p], AppendTo[lst, p]], {n, 0, 2*5!}]; lst
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CROSSREFS
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Sequence in context: A083988 A070954 A141892 this_sequence A163428 A130468 A068917
Adjacent sequences: A155930 A155931 A155932 this_sequence A155934 A155935 A155936
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KEYWORD
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nonn
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AUTHOR
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Vladimir Orlovsky (4vladimir(AT)gmail.com), Jan 30 2009
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