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A139313 Primes prime(n) such that -prime(n-1)+3prime(n)-3prime(n+1)+prime(n+2)=0. 1
19, 37, 43, 67, 83, 229, 257, 277, 349, 353, 383, 443, 479, 571, 613, 643, 677, 683, 719, 751, 1033, 1093, 1279, 1297, 1429, 1433, 1489, 1553, 1609, 1621, 1663, 1733, 1747, 1783, 1867, 1987, 1993, 2053, 2137, 2207, 2377, 2467, 2503, 2579, 2683, 2689, 2693 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
If A006562 is when -Prime[ -1 + n] + 2 Prime[n] - Prime[1 + n] = 0; then this "Integer differential" is the next higher order.
LINKS
FORMULA
a(n)=A000040(1+A064149(n)). - R. J. Mathar, Jun 10 2008
MATHEMATICA
Flatten[Table[If[ -Prime[ -1 +n] + 3*Prime[n] - 3*Prime[1 + n] + Prime[n + 2] == 0, Prime[n], {}], {n, 2, 500}]]
Select[Partition[Prime[Range[500]], 4, 1], 3#[[2]]+#[[4]]==#[[1]]+3#[[3]]&][[All, 2]](* Harvey P. Dale, Jul 09 2018 *)
CROSSREFS
Cf. A006562.
Sequence in context: A059695 A134196 A217045 * A272205 A347371 A332756
KEYWORD
nonn
AUTHOR
Roger L. Bagula, Jun 07 2008
EXTENSIONS
Edited by N. J. A. Sloane, Jul 01 2008
Definition corrected by Harvey P. Dale, Jul 09 2018
STATUS
approved

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Last modified February 21 12:33 EST 2024. Contains 370235 sequences. (Running on oeis4.)