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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
Sequence in context: A002433 A107535 A181285 * A250523 A251061 A213193
KEYWORD
nonn
AUTHOR
Artur Jasinski, Sep 14 2007
STATUS
approved

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Last modified March 28 07:20 EDT 2024. Contains 371235 sequences. (Running on oeis4.)