|
Search: id:A082098
|
|
|
| A082098 |
|
a(n) is the smallest prime p of the form 4k+3 such that nextprime[p]-p=4n. |
|
+0
2
|
|
| 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; listen)
|
|
|
OFFSET
|
1,1
|
|
|
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: A015479 A142669 A067556 this_sequence A057634 A145181 A082443
Adjacent sequences: A082095 A082096 A082097 this_sequence A082099 A082100 A082101
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Labos E. (labos(AT)ana.sote.hu), Apr 14 2003
|
|
|
Search completed in 0.002 seconds
|
