A348170 Numbers k such that (35^k - 1)/34 is prime.

313, 1297, 568453

Offset

1,1

Comments

These are the repunit primes in base 35.

Links

Table of n, a(n) for n=1..3.

Paul Bourdelais, A Generalized Repunit Conjecture.

OEIS Wiki, Primes of the form (a^n+b^n)/(a+b) and (a^n-b^n)/(a-b).

Example

313 is a term since (35^313 - 1)/34 is a prime. It has 482 digits in base 10.

Mathematica

Do[ If[ PrimeQ[ (35^n-1)/34], Print[n]], {n, 0, 600000}]

Prog

(PARI) is(n)=isprime((35^n-1)/34)

Crossrefs

Cf. A309533, A309532, A237052, A229145, A057191, A057182, A057175.

Cf. A218738.

Sequence in context: A392227 A082436 A108845 * A340464 A272442 A200912

Adjacent sequences: A348167 A348168 A348169 * A348171 A348172 A348173

Keyword

nonn,bref,hard,more

Author

Paul Bourdelais, Oct 04 2021

Status

approved