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A131279
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Numbers k such that k divides Sum_{j=1..k} prime(j)^19.
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2
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1, 25, 453, 677, 839, 1015, 3735, 4175, 4413, 10369, 14239, 43311, 452567, 1274185, 14102849, 37801813, 71271705, 93524231, 386557609, 2151748733, 261349938459, 761474469415
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OFFSET
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1,2
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COMMENTS
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a(22) > 290000000000. - Karl-Heinz Hofmann, Feb 24 2021
a(23) > 770000000000. - Bruce Garner, Mar 01 2021
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LINKS
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Table of n, a(n) for n=1..22.
OEIS Wiki, Sums of powers of primes divisibility sequences.
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MATHEMATICA
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s = 0; Do[s = s + Prime[n]^19; If[ Mod[s, n] == 0, Print[n]], {n, 50000}]
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CROSSREFS
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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: A001714 A016633 A001811 * A056069 A089386 A014927
Adjacent sequences: A131276 A131277 A131278 * A131280 A131281 A131282
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KEYWORD
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nonn,changed
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AUTHOR
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Alexander Adamchuk, Jun 25 2007
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EXTENSIONS
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More terms from Ryan Propper, Oct 09 2007
a(19)-a(20) from Robert Price, Dec 15 2013
a(21) from Karl-Heinz Hofmann, Feb 24 2021
a(22) from Bruce Garner, Mar 01 2021
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STATUS
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approved
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