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A387392
Numbers k such that (29^k + 3^k)/32 is prime.
0
11, 181, 229, 311, 701, 4493, 5233, 13879
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OFFSET
1,1
COMMENTS
The definition implies that k must be a prime.
a(9) > 10^5.
LINKS
Table of n, a(n) for n=1..8.
P. Bourdelais,
A Generalized Repunit Conjecture
.
J. Brillhart et al.,
Factorizations of b^n +- 1
, Contemporary Mathematics, Vol. 22, Amer. Math. Soc., Providence, RI, 3rd edition, 2002.
H. Dubner and T. Granlund,
Primes of the Form (b^n+1)/(b+1)
, J. Integer Sequences, 3 (2000), #P00.2.7.
H. Lifchitz,
Mersenne and Fermat primes field
Eric Weisstein's World of Mathematics,
Repunit
.
OEIS Wiki,
Primes of the form (a^n+b^n)/(a+b) and (a^n-b^n)/(a-b)
MATHEMATICA
Select[Prime[Range[10000]], PrimeQ[(29^# + 3^#)/32] &]
CROSSREFS
Cf.
A057187
,
A057188
,
A062587
,
A062589
,
A127996
,
A127997
,
A128344
,
A204940
,
A217320
,
A225807
,
A228922
,
A229542
,
A375161
,
A375236
,
A377031
,
A377856
.
Sequence in context:
A157382
A174979
A157945
*
A106907
A020456
A036935
Adjacent sequences:
A387389
A387390
A387391
*
A387393
A387394
A387395
KEYWORD
nonn
,
hard
,
more
AUTHOR
Robert Price
, Aug 28 2025
STATUS
approved