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A101618 Indices of semiprimes in A001003. 1

%I #24 Feb 09 2023 04:36:25

%S 7,11,17,19,21,239

%N Indices of semiprimes in A001003.

%C No more terms < 2000. - _David Wasserman_, Mar 27 2008

%C a(7) >= 4377. A001003(4377) is a 3345-digit composite number with unknown factorization. Other possible terms are 4391, 45207, 45369, 45377, 131723, 131733, ... - _Tyler Busby_, Feb 08 2023

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Semiprime.html">Semiprime</a>.

%F A001003(a(n)) is in A001358 (semiprimes).

%e a(1) = 7 because A001003(7) = 4279 = 11 * 389.

%e a(2) = 11 because A001003(11) = 2646723 = 3 * 882241.

%e a(3) = 17 because A001003(17) = 55909013009 = 41263 * 1354943.

%e a(4) = 19 because A001003(19) = 1618362158587 = 24413 * 66290999.

%e a(5) = 21 because A001003(21) = 47574827600981 = 3253 * 14624908577.

%Y Cf. A001003, A001358.

%Y Cf. A101619, A092839, A092840.

%K nonn,more,less

%O 1,1

%A _Jonathan Vos Post_, Dec 09 2004

%E Edited by _Franklin T. Adams-Watters_, Nov 07 2006

%E Changed by _Michael Somos_, Mar 31 2007, because of the re-indexing of A001003.

%E a(6) from _David Wasserman_, Mar 27 2008

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Last modified August 22 06:14 EDT 2024. Contains 375356 sequences. (Running on oeis4.)