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A133526 Sum of fourth powers of four consecutive primes. 20
3123, 17748, 46228, 129124, 257044, 522244, 1200964, 2040964, 3784804, 6330724, 9042244, 12998404, 19014724, 28306324, 38733364, 54004804, 71526004, 87806884, 112911124, 140218324, 177548884, 237679924, 302790244, 367882804, 436220164 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

FORMULA

a(n) = A133531(n) + A030514(n+3). - Michel Marcus, Nov 08 2013

a(n) ~ 4n^4 log^4 n. - Charles R Greathouse IV, Apr 29 2015

EXAMPLE

a(1)=3123 because 2^4+3^4+5^4+7^4=3123.

MATHEMATICA

a = 4; Table[Prime[n]^a + Prime[n + 1]^a + Prime[n + 2]^a + Prime[n + 3]^a, {n, 1, 100}]

Total/@Partition[Prime[Range[30]]^4, 4, 1] (* Harvey P. Dale, Sep 09 2014 *)

PROG

(PARI) a(n)=sum(i=n, n+3, prime(i)^4) \\ Charles R Greathouse IV, Apr 29 2015

CROSSREFS

Cf. A034963, A133524, A133525, A133527, A133528.

Sequence in context: A002433 A107535 A181285 * A250523 A251061 A213193

Adjacent sequences:  A133523 A133524 A133525 * A133527 A133528 A133529

KEYWORD

nonn

AUTHOR

Artur Jasinski, Sep 14 2007

STATUS

approved

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Last modified July 4 16:52 EDT 2022. Contains 355081 sequences. (Running on oeis4.)