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A234740
Sum of the eleventh powers of the first n primes.
1
2048, 179195, 49007320, 2026334063, 287338004674, 2079498398711, 36351394706344, 152841653604563, 1105651411518490, 13306161177224319, 38714638073629150, 216632259853089563, 766961291569338004, 1696255031040560711, 4168414246124573014, 13437450175496764611
OFFSET
1,1
FORMULA
a(n) = Sum_{k=1..n} prime(k)^11.
MATHEMATICA
Table[Sum[Prime[k]^11, {k, n}], {n, 1000}]
Accumulate[Prime[Range[20]]^11] (* This program is several hundred times faster than the first program, above, in calculating the first 1000 terms of the sequence. *) (* Harvey P. Dale, Sep 17 2023 *)
PROG
(PARI) s=[]; for(n=1, 15, s=concat(s, sum(i=1, n, prime(i)^11))); s \\ Colin Barker, Jan 20 2014
CROSSREFS
Cf. A085450 (smallest m > 1 such that m divides Sum_{k=1..m} prime(k)^n).
Partial sums of A079395.
Sequence in context: A008455 A079395 A096963 * A134684 A035769 A107565
KEYWORD
nonn,easy
AUTHOR
Robert Price, Jan 20 2014
STATUS
approved