login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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
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
Sequence in context: A294682 A177677 A045822 * A267472 A194487 A196312
KEYWORD
easy,nonn
AUTHOR
Terrel Trotter, Jr., Dec 01 2001
EXTENSIONS
a(26)-a(32) from Harry J. Smith, Oct 23 2009
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 29 05:48 EDT 2024. Contains 371265 sequences. (Running on oeis4.)