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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
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
KEYWORD
nonn
AUTHOR
Artur Jasinski, Sep 14 2007
STATUS
approved