A384736 Numbers k such that (28^k - 3^k)/25 is prime.

2, 3, 7, 43, 197, 13397, 28837, 29153

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[(28^# - 3^#)/25] &]

Crossrefs

Cf. A062587, A062589, A127996, A127997, A128344, A204940, A217320, A225807, A229542, A375161, A375236, A377031.

Sequence in context: A000946 A367020 A091771 * A339806 A072714 A051786

Adjacent sequences: A384733 A384734 A384735 * A384737 A384738 A384739

Keyword

nonn,hard,more

Author

Robert Price, Jun 08 2025

Status

approved