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A113916
Numbers k such that (p^k-1)/(p-1) is prime where p is the k-th prime.
0
3, 7, 19, 31, 307, 421
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OFFSET
1,1
COMMENTS
Note that k must itself be a prime.
a(7) > 20000 if it exists. -
Michael S. Branicky
, Dec 29 2025
LINKS
Table of n, a(n) for n=1..6.
MATHEMATICA
Do[ p = Prime[n]; If[PrimeQ[(p^n - 1)/(p - 1)], Print[n]], {n, 1800}] (*
Robert G. Wilson v
, Jan 30 2006 *)
CROSSREFS
Sequence in context:
A102271
A145039
A112633
*
A227502
A268065
A049490
Adjacent sequences:
A113913
A113914
A113915
*
A113917
A113918
A113919
KEYWORD
nonn
,
hard
,
more
AUTHOR
Joao da Silva (zxawyh66(AT)yahoo.com), Jan 30 2006
STATUS
approved