A082098 a(n) is the smallest prime p of the form 4k+3 such that nextprime[p]-p=4n.

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

Offset

1,1

Links

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

Example

nextprime[a(9)]-a(9)=9587-9551=36=4.9

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

Crossrefs

Cf. A002144, A002145, A082073-A082076, A082099.

Sequence in context: A266876 A185062 A067556 * A057634 A203706 A145181

Adjacent sequences: A082095 A082096 A082097 * A082099 A082100 A082101

Keyword

nonn

Author

Labos Elemer, Apr 14 2003

Status

approved