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 A089158 Second prime factor, if it exists, of Mersenne numbers. 3
 89, 178481, 1103, 616318177, 164511353, 9719, 4513, 69431, 3203431780337, 761838257287, 48544121, 2298041, 202029703, 57912614113275649087721, 13842607235828485645766393, 341117531003194129, 3976656429941438590393 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Amiram Eldar, Table of n, a(n) for n = 1..183 Chris Caldwell, Mersenne Primes: History, Theorems and Lists. EXAMPLE The 5th Mersenne number 2^11 - 1 = 23*89 and 89 is the second prime divisor. The 9th Mersenne number 2^23 - 1 = 47*178481 and 178481 is the second prime divisor. Notice 23, 89 congruent to 1 mod 11 and 47, 178481 congruent to 1 mod 23. PROG (PARI) mersenne(b, n, d) = { c=0; forprime(x=2, n, c++; y = b^x-1; f=factor(y); v=component(f, 1); ln = length(v); if(ln>=d, print1(v[d]", ")); ) } CROSSREFS Cf. A001348, A016047, A065341, A089159, A089992, A135978. Sequence in context: A128872 A263379 A073905 * A145098 A136031 A145097 Adjacent sequences: A089155 A089156 A089157 * A089159 A089160 A089161 KEYWORD nonn,changed AUTHOR Cino Hilliard, Dec 06 2003 STATUS approved

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Last modified July 22 23:31 EDT 2024. Contains 374544 sequences. (Running on oeis4.)