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 A349722 Primes p such that the greatest common divisor of 2^p+1 and 3^p+1 is composite. 2
 2243399, 2334547, 2743723, 3932207, 4623107, 4716343, 5482423, 5993411, 6490151, 7156769, 7187743, 8795167, 9026987, 9608843, 9923209 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Table of n, a(n) for n=1..15. Carlos Rivera, Puzzle 1064. GCD(2^p+1,3^p+1), The Prime Puzzles and Problems Connection. PROG (PARI) isok(p) = if (isprime(p), my(g=gcd(2^p+1, 3^p+1)); (g>1) && !isprime(g)); CROSSREFS Subsequence of A260674. Cf. A066803. Sequence in context: A224629 A224636 A046444 * A180940 A089445 A089446 Adjacent sequences: A349719 A349720 A349721 * A349723 A349724 A349725 KEYWORD nonn,more AUTHOR Michel Marcus, Nov 27 2021 EXTENSIONS a(4)-a(7) after update of Rivera link from Martin Ehrenstein, Dec 04 2021 a(8)-a(9) from Shyam Sunder Gupta, Dec 04 2021 a(10)-a(15) from Martin Ehrenstein, Dec 05 2021 STATUS approved

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Last modified June 25 06:01 EDT 2024. Contains 373697 sequences. (Running on oeis4.)