A065762 a(n) = (sum of first n primes)^2 + sum of (squares of first n primes).

8, 38, 138, 376, 992, 2058, 4030, 6956, 11556, 19038, 28958, 43536, 63052, 87218, 118050, 158436, 210356, 271478, 347590, 438328, 542280, 667258, 812342, 983756, 1189396, 1423918, 1684302, 1977696, 2300336, 2660354, 3097234, 3582196, 4126908, 4718214

Offset: 1

Author

Terrel Trotter, Jr., Dec 04 2001

Keywords

• easy
• nonn

Examples

			a(4) = 376 because (2 + 3 + 5 + 7)^2 + (2^2 + 3^2 + 5^2 + 7^2) = 17^2 + (4 + 9 + 25 + 49) = 289 + 87 = 376.
		

Links

• Harry J. Smith, Table of n, a(n) for n = 1..500

Crossrefs

Cf. A007504, A024450, A065595.

Programs

Mathematica

nn=50;With[{prs=Prime[Range[nn]]},Table[Total[Take[prs,n]]^2+ Total[Take[prs,n]^2],{n,nn}]] (* Harvey P. Dale, Aug 20 2011 *)

PARI

{ s=ss=0; for (n=1, 500, p=prime(n); s+=p; ss+=p^2; write("b065762.txt", n, " ", s^2 + ss) ) } \\ Harry J. Smith, Oct 30 2009

Formula

a(n) = A007504(n)^2 + A024450(n). - Michel Marcus, Oct 12 2015

Extensions

More terms from Harvey P. Dale, Aug 20 2011