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A082098
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a(n) is the smallest prime p of the form 4k+3 such that nextprime[p]-p=4n.
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1
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7, 359, 199, 1831, 887, 2179, 2971, 5591, 9551, 33247, 15683, 106543, 25471, 153191, 43331, 288583, 372539, 360091, 873787, 542603, 637939, 544279, 1291691, 860143, 1313467, 1388483, 2238823, 2637799, 6695747, 1895359, 6752623, 3851459
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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EXAMPLE
| nextprime[a(9)]-a(9)=9587-9551=36=4.9
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MATHEMATICA
| {m=4, r=3}; 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
| Cf. A002144, A002145, A082073-A082076, A082099.
Sequence in context: A142669 A185062 A067556 * A057634 A203706 A145181
Adjacent sequences: A082095 A082096 A082097 * A082099 A082100 A082101
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KEYWORD
| nonn
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AUTHOR
| Labos E. (labos(AT)ana.sote.hu), Apr 14 2003
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