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Search: id:A082099
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| A082099 |
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a(n) is the smallest prime p of the form 4k+1 such that nextprime[p]-p=4n. |
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+0
2
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| 13, 89, 509, 1933, 1637, 1669, 5953, 27701, 12853, 19333, 36389, 28229, 19609, 82073, 102701, 89689, 134513, 31397, 212701, 815729, 461717, 1155733, 927869, 360653, 396733, 3422813, 3279841, 370261, 5845193, 6085441, 6808273, 9810653
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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n=9: nextprime[a(9)]-a(9)=12889-12853=36=4n.
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MATHEMATICA
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{m=4, r=1}; f[x_] := (Prime[x+1]-Prime[x])/m t=Table[0, {100}]; Do[s=f[n]; s1=Mod[Prime[n+1], m]; If[IntegerQ[s]&&Equal[s1, r]&&s<101&&t[[s]]==0, t[[s]]=Prime[n]], {n, 1, 1000000}]; t
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CROSSREFS
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Cf. A002144, A002145, A082073-A082076, A082098.
Sequence in context: A157771 A141878 A132260 this_sequence A152867 A026912 A161465
Adjacent sequences: A082096 A082097 A082098 this_sequence A082100 A082101 A082102
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Apr 14 2003
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