A129734 List of primitive prime divisors of the numbers 3^n-2^n (A001047) in their order of occurrence.

5, 19, 13, 211, 7, 29, 71, 97, 1009, 11, 23, 331, 61, 53, 29927, 463, 3571, 17, 401, 129009091, 577, 1559, 745181, 4621, 43, 6217, 35839, 47, 2002867877, 5521, 101, 39756701, 79, 4057, 397760329, 369181, 68629840493971, 31, 241, 617671248800299, 3041, 14177

Offset

1,1

Comments

Read A001047 term-by-term, factorize each term, write down any primes not seen before.

Links

Amiram Eldar, Table of n, a(n) for n = 1..1893

Graham Everest, Shaun Stevens, Duncan Tamsett and Tom Ward, Primes generated by recurrence sequences, Amer. Math. Monthly, 114 (No. 5, 2007), 417-431.

K. Zsigmondy, Zur Theorie der Potenzreste, Monatsh. Math., 3 (1892), 265-284.

Crossrefs

Cf. A001047, A058765, A057468; A003462, A076481, A028491, A129733; A000225, A004668, A000043, A108974.

Sequence in context: A089082 A217011 A106229 * A109325 A370824 A169698

Adjacent sequences: A129731 A129732 A129733 * A129735 A129736 A129737

Keyword

nonn

Author

N. J. A. Sloane, May 13 2007

Extensions

a(41) and a(42) switched by Amiram Eldar, Jun 30 2023

Status

approved