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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Robert Price, Table of n, a(n) for n = 1..1000

OEIS Wiki, Sums of powers of primes divisibility sequences

V. Shevelev, Asymptotics of sum of the first n primes with a remainder term

FORMULA

a(n) = sum(k = 1 .. n, prime(k)^11).

MATHEMATICA

Table[Sum[Prime[k]^11, {k, n}], {n, 1000}]

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.

Cf. A007504, A045345, A171399, A128165, A233523, A050247, A050248.

Cf. A024450, A111441, A217599, A128166, A233862, A217600, A217601.

Sequence in context: A008455 A079395 A096963 * A134684 A035769 A107565

Adjacent sequences:  A234737 A234738 A234739 * A234741 A234742 A234743

KEYWORD

nonn,easy

AUTHOR

Robert Price, Jan 20 2014

STATUS

approved

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Last modified July 22 15:23 EDT 2019. Contains 325224 sequences. (Running on oeis4.)