Search: id:A126762
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%I A126762
%S A126762 2,3,5,5,7,7,11,9,11,11,13,13,17,15,17,17,19,19,23,21,23,23,29,25,28,27,
%T A126762 29,29,31,31,37,33,37,35,37,37,41,39,41,41,43,43,47,45,47,47,53,49,53,
%U A126762 51,53,53,59,55,59,57,59,59,61,61,67,63,67,65,67,67,71,69,71,71,73,73
%N A126762 a(n) = least k such that the remainder when n^k is divided by k is n.
%C A126762 a(n)>n. a(n-1) = n for n = {2,3,5,7,9,11,13,15,17,19,21,23,25,27,29,...} 
               = 2 together with odd numbers n>1. a(p) = next prime for prime p. 
               a(n) coincides with A082048(n) up to n=24.
%t A126762 Table[Min[Select[Range[101],PowerMod[n,#,# ]==n&]],{n,1,100}]
%Y A126762 Cf. A128149 = Least k such that n^k (mod k) = n-1. Cf. A128172 = Least 
               k such that n^k (mod k) = n+1. Cf. A036236, A078457, A119678, A119679, 
               A127816, A119715, A119714, A127817, A127818, A127819, A127820, A127821, 
               A128154, A128155, A128156, A128157, A128158, A128159, A128160. Cf. 
               A082048 = least number greater than n having greater smallest prime 
               factor than that of n.
%Y A126762 Sequence in context: A115732 A048947 A114519 this_sequence A082048 A113459 
               A159477
%Y A126762 Adjacent sequences: A126759 A126760 A126761 this_sequence A126763 A126764 
               A126765
%K A126762 nonn
%O A126762 1,1
%A A126762 Alexander Adamchuk (alex(AT)kolmogorov.com), Feb 17 2007

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