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A174616 Number of eight-prime Carmichael numbers less than 10^n.

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%I A174616 #23 Apr 22 2025 10:49:04
%S A174616 0,0,0,0,0,0,0,0,0,0,0,0,7,89,655,3622,16348,63635,223997,720406,
%T A174616 2148017,6015901,16005646
%N A174616 Number of eight-prime Carmichael numbers less than 10^n.
%D A174616 Paulo Ribenboim, The Little Book of Bigger Primes, Springer-Verlag NY 2004. See p. 220.
%H A174616 Claude Goutier, <a href="http://www-labs.iro.umontreal.ca/~goutier/OEIS/A055553/">Text file readme.text summarizing enumeration of Carmichael numbers up to 10^22</a>.
%H A174616 Claude Goutier, <a href="/A055553/a055553.txt">Text file readme.text summarizing enumeration of Carmichael numbers up to 10^22</a>. [Local copy, with permission]
%H A174616 R. G. E. Pinch, <a href="http://s369624816.websitehome.co.uk/rgep/p82p.pdf">The Carmichael numbers up to 10^21</a>, Proceedings of Conference on Algorithmic Number Theory 2007.
%e A174616 The smallest Carmichael number with 8 prime factors is 232250619601 = 7*11*13*17*31*37*73*163, and there are 6 others, so a(12) = 7.
%Y A174616 For k-prime Carmichael numbers up to 10^n for k = 3,4,...,11, see A132195, A174612, A174613, A174614, A174615, A174616, A174617, A299710, A299711.
%Y A174616 Cf. A002997, A006931, A055553.
%K A174616 nonn,more
%O A174616 0,13
%A A174616 _Michel Lagneau_, Mar 23 2010
%E A174616 a(22) from _Claude Goutier_ added by _Amiram Eldar_, Apr 19 2024