A082099 a(n) is the smallest prime p of the form 4k+1 such that nextprime[p]-p=4n.

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

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: A132260 A181508 A357219 * A282858 A268746 A152867

Adjacent sequences: A082096 A082097 A082098 * A082100 A082101 A082102

Keyword

nonn

Author

Labos Elemer, Apr 14 2003

Status

approved