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A082099 a(n) is the smallest prime p of the form 4k+1 such that nextprime[p]-p=4n. 1
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; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..32.

EXAMPLE

n=9: nextprime[a(9)]-a(9)=12889-12853=36=4n.

MATHEMATICA

{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

CROSSREFS

Cf. A002144, A002145, A082073-A082076, A082098.

Sequence in context: A141878 A132260 A181508 * A282858 A268746 A152867

Adjacent sequences:  A082096 A082097 A082098 * A082100 A082101 A082102

KEYWORD

nonn

AUTHOR

Labos Elemer, Apr 14 2003

STATUS

approved

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Last modified April 2 19:05 EDT 2020. Contains 333190 sequences. (Running on oeis4.)