A133524 Sum of squares of four consecutive primes.

87, 204, 364, 628, 940, 1348, 2020, 2692, 3700, 4852, 5860, 7108, 8548, 10348, 12220, 14500, 16732, 18580, 21100, 23500, 26380, 30460, 34420, 38140, 41668, 44140, 46708, 52228, 57940, 64828, 71380, 77452, 83092, 88972, 96220, 101908, 109036

Offset: 1

Author

Artur Jasinski, Sep 14 2007

Keywords

• nonn

Examples

			a(1)=87 because 2^2+3^2+5^2+7^2=87.
		

Links

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

Crossrefs

Cf. A034963.

Programs

Mathematica

a = 2; Table[Prime[n]^a + Prime[n + 1]^a + Prime[n + 2]^a + Prime[n + 3]^a, {n, 1, 100}]
Total/@Partition[Prime[Range[40]]^2,4,1] (* Harvey P. Dale, Dec 09 2018 *)

PARI

a(n)=sum(i=n, n+3, prime(i)^2) \\ Charles R Greathouse IV, Apr 29 2015

Formula

a(n) = A133529(n) + A001248(n+3). - Michel Marcus, Nov 08 2013

a(n) ~ 4n^2 log^2 n. - Charles R Greathouse IV, Apr 29 2015