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 A273618 Numbers n = 2*k+1 where k is odd with the property that 3^k mod n == 1 and k^k mod n == 1. 1
 11, 59, 83, 107, 131, 179, 227, 251, 347, 419, 443, 467, 491, 563, 587, 659, 683, 827, 947, 971, 1019, 1091, 1163, 1187, 1259, 1283, 1307, 1427, 1451, 1499, 1523, 1571, 1619, 1667, 1787, 1811, 1907, 1931, 1979, 2003, 2027, 2099, 2243, 2267 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS All composites in this sequence are 2-pseudoprimes, see A001567, and strong pseudoprimes to base 2, A001262. The subsequence of these composites begins: 143193768587, 440097066011, 1188059560451, 1392770336147, 1640446291859, 2526966350771, 3639120872171, 3989703695867, 4202422108523,.... Perhaps this sequence contains all the terms of the sequence A107007 (except 3) or A168539. LINKS Robert Israel, Table of n, a(n) for n = 1..10000 EXAMPLE n=131; 131=2*65+1; 3^65 mod 131 == 1 and 65^65 mod 131 == 1. MAPLE filter:= proc(n) local k;   k:= (n-1)/2;   3 &^ k mod n = 1 and k &^ k mod n = 1 end proc: select(filter, [seq(i, i=3..3000, 4)]); # Robert Israel, Nov 28 2019 CROSSREFS Cf. A001262, A001567, A107007, A168539, A214151. Sequence in context: A139872 A165977 A214151 * A168539 A320882 A048524 Adjacent sequences:  A273615 A273616 A273617 * A273619 A273620 A273621 KEYWORD nonn AUTHOR Alzhekeyev Ascar M, May 26 2016 STATUS approved

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Last modified April 19 12:35 EDT 2021. Contains 343114 sequences. (Running on oeis4.)