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A065595 a(n) = (sum of first n primes)^2 - sum of squares of first n primes. 3
0, 12, 62, 202, 576, 1304, 2698, 4902, 8444, 14244, 22242, 34082, 50236, 70704, 97118, 131886, 176844, 230524, 297658, 378314, 471608, 584104, 715410, 870982, 1057804, 1271924, 1511090, 1781586, 2080464, 2414944, 2819566, 3270206 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

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

FORMULA

a(n) = (A007504(n))^2 - A024450(n). - R. J. Mathar, Oct 07 2011

EXAMPLE

a(4) = 202 because (2 + 3 + 5 + 7)^2 - (2^2 + 3^2 + 5^2 + 7^2) = 17^2 - (4 + 9 + 25 + 49) = 289 - 87 = 202

MATHEMATICA

With[{prs=Prime[Range[40]]}, Table[Total[Take[prs, n]]^2-Total[Take[ prs, n]^2], {n, 40}]] (* Harvey P. Dale, Dec 04 2011 *)

PROG

(PARI) { a1=a2=0; for (n=1, 500, a1+=prime(n); a2+=prime(n)^2; write("b065595.txt", n, " ", a1^2 - a2) ) } \\ Harry J. Smith, Oct 23 2009

CROSSREFS

Cf. A007504, A024450.

Sequence in context: A196144 A177677 A045822 * A267472 A194487 A196312

Adjacent sequences:  A065592 A065593 A065594 * A065596 A065597 A065598

KEYWORD

easy,nonn

AUTHOR

Terrel Trotter, Jr., Dec 01 2001

EXTENSIONS

a(26)-a(32) from Harry J. Smith, Oct 23 2009

STATUS

approved

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Last modified May 22 13:18 EDT 2017. Contains 286872 sequences.