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

313, 1297, 568453

Offset: 1

Author

Paul Bourdelais, Oct 04 2021

Keywords

• nonn
• bref
• hard
• more

Comments

These are the repunit primes in base 35.

Examples

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

Links

• Paul Bourdelais, A Generalized Repunit Conjecture

Crossrefs

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

Cf. A218738.

Programs

Mathematica

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

PARI

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