OFFSET
1,1
COMMENTS
All prime factors of 3^p - 2^p, where p is prime, are = 1 (mod p).
LINKS
Amiram Eldar, Table of n, a(n) for n = 1..93
Chris Caldwell, Mersenne Primes: History, Theorems and Lists.
EXAMPLE
3^11 - 2^11 = 23*331. The second prime factor is 331. These factors are congruent to 1 mod 11.
PROG
(PARI) apmapm1(a, b, n, d) = { c=0; forprime(x=2, n, c++; y = a^x-b^x; f=factor(y); v=component(f, 1); ln = length(v); if(ln>=d, print(v[d]", ")); ) }
CROSSREFS
KEYWORD
nonn
AUTHOR
Cino Hilliard, Dec 06 2003
EXTENSIONS
Name corrected by Michel Marcus, Dec 16 2022
a(18)-a(21) from Amiram Eldar, Jun 30 2023
STATUS
approved