A133526 Sum of fourth powers of four consecutive primes.

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

Author

Artur Jasinski, Sep 14 2007

Keywords

• nonn

Examples

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

Links

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

Crossrefs

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

Programs

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 *)

PARI

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

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