Search: id:A046022
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%I A046022
%S A046022 1,2,3,4,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,
%T A046022 83,89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,
%U A046022 173,179,181,191,193,197,199,211,223,227,229,233,239,241,251,257
%N A046022 Primes together with 1 and 4.
%C A046022 The values of n which are incrementally largest values of the Smarandache 
               function S(n) seem to produce the same sequence.
%C A046022 Solutions to A000005[x]+A000010[x]-x-1=0. - Labos E. (labos(AT)ana.sote.hu), 
               Aug 23 2001
%C A046022 Also numbers m such that m, phi(m) and tau(m) form an integer triangle, 
               where phi=A000010 is the totient and tau=A000005 the number of divisors 
               (see also A084820). - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), 
               Jun 04 2003
%C A046022 Terms > 1 are n such that n does not divide (n-1)! - Benoit Cloitre (benoit7848c(AT)orange.fr), 
               Nov 12 2003
%C A046022 Terms > 1 are the sum of their prime factors; 4 (= 2+2) is the only such 
               composite number. - Stuart Orford (sjorford(AT)yahoo.co.uk), Aug 
               04 2005
%C A046022 A141295(a(n)) = a(n). - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), 
               Jun 23 2008
%H A046022 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               SmarandacheFunction.html">Link to a section of The World of Mathematics.</
               a>
%H A046022 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               SumofPrimeFactors.html">Sum of Prime Factors</a>
%t A046022 max = 0; a = {}; Do[m = FactorInteger[n]; w = Sum[m[[k]][[1]]*m[[k]][[2]], 
               {k, 1, Length[m]}]; If[w > max, AppendTo[a, w]; max = w], {n, 1, 
               1000}]; a - Artur Jasinski (grafix(AT)csl.pl), Apr 06 2008
%Y A046022 Cf. A002034, A046021.
%Y A046022 Sequence in context: A062972 A036844 A033070 this_sequence A073019 A007885 
               A003037
%Y A046022 Adjacent sequences: A046019 A046020 A046021 this_sequence A046023 A046024 
               A046025
%K A046022 nonn,easy
%O A046022 1,2
%A A046022 Eric Weisstein (eric(AT)weisstein.com)
%E A046022 Better description from Frank.Ellermann(AT)t-online.de, Jun 15 2001

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