A277878 Smallest prime q with q > r such that p = (q + r + 1)/r, where p = prime(n) and r = A277879(n).

3, 7, 11, 19, 23, 31, 53, 43, 83, 59, 71, 79, 83, 137, 103, 173, 179, 131, 139, 359, 233, 163, 263, 191, 199, 509, 211, 1187, 223, 251, 389, 271, 2621, 443, 449, 311, 809, 331, 859, 4093, 359, 379, 383, 587, 593, 419, 443, 677, 683, 463, 2617, 479, 499, 1279

Offset

2,1

Comments

Rassias's conjecture is the claim that q and r exist for every p.

Links

Table of n, a(n) for n=2..55.

Wikipedia, Rassias' conjecture.

Prog

(PARI) a(n) = my(t=prime(n)-1); forprime(r=2, oo, if(isprime(r*t-1), return(r*t-1))); \\ Jinyuan Wang, Jul 25 2021

Crossrefs

Cf. A277879.

Sequence in context: A369249 A092109 A361562 * A117991 A118260 A018805

Adjacent sequences: A277875 A277876 A277877 * A277879 A277880 A277881

Keyword

nonn

Author

Felix Fröhlich, Nov 03 2016

Extensions

Terms corrected by and more terms from Jinyuan Wang, Jul 25 2021

Status

approved