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A232966
Numbers k such that k divides 1 + Sum_{j=1..k} prime(j)^14.
1
1, 2, 3, 4, 6, 8, 9, 12, 13, 24, 26, 28, 45, 48, 88, 168, 360, 474, 540, 550, 864, 1104, 1230, 1408, 1488, 1816, 2367, 2677, 3507, 5592, 5916, 6612, 11238, 12925, 14124, 23523, 24087, 27356, 41528, 43465, 56951, 74688, 79244, 86682, 181730, 186136, 193704
OFFSET
1,2
COMMENTS
a(120) > 2*10^13. - Bruce Garner, Jun 02 2021
LINKS
Bruce Garner, Table of n, a(n) for n = 1..119 (first 101 terms from Robert Price)
EXAMPLE
a(7)=9 because 1 plus the sum of the first 9 primes^14 is 12564538647431705217 which is divisible by 9.
MATHEMATICA
p = 2; k = 0; s = 1; lst = {}; While[k < 40000000000, s = s + p^14; If[Mod[s, ++k] == 0, AppendTo[lst, k]; Print[{k, p}]]; p = NextPrime@ p] (* derived from A128169 *)
CROSSREFS
Cf. A085450 = smallest m > 1 such that m divides Sum_{k=1..m} prime(k)^n.
Sequence in context: A356940 A274452 A018731 * A331728 A353868 A113961
KEYWORD
nonn
AUTHOR
Robert Price, Dec 02 2013
STATUS
approved