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 A181782 Odd composite numbers n that are strong pseudoprimes to some base a, 2 <= a <= n-2. 4
 25, 49, 65, 85, 91, 121, 125, 133, 145, 169, 175, 185, 205, 217, 221, 231, 247, 259, 265, 289, 301, 305, 325, 341, 343, 361, 365, 377, 385, 403, 425, 427, 435, 445, 451, 469, 475, 481, 485, 493, 505, 511, 529, 533, 545, 553, 559, 561, 565, 589, 595, 625, 629, 637, 645, 651, 671, 679, 685, 689, 697 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Amiram Eldar, Table of n, a(n) for n = 1..10000 EXAMPLE 49 is a strong pseudoprime to the bases 18, 19, 30 and 31, so 49 is in the sequence. PROG (PARI) /* function sppq() from http://www.jjj.de/pari/rabinmiller.gpi */ sppq(n, a)= { /* Return whether n is a strong pseudoprime to base a (Rabin Miller) */ local(q, t, b, e); q = n-1; t = 0; while ( 0==bitand(q, 1), q\=2; t+=1 ); /* here n==2^t*q+1 */ b = Mod(a, n)^q; if ( 1==b, return(1) ); e = 1; while ( e>t)); b==1&&return(1); while(t-->0 && b!=-1 && b!=1, b=b^2); b==-1&&return(1))}, [1..700]) \\ Defines is_A181782(): select(...) gives a check and illustration for free. Inside the for loop is the exact equivalent of the sppq() function above. - M. F. Hasler, Nov 26 2018 CROSSREFS Cf. A141768. Sequence in context: A091300 A112771 A278931 * A322121 A020146 A020244 Adjacent sequences: A181779 A181780 A181781 * A181783 A181784 A181785 KEYWORD nonn AUTHOR Karsten Meyer, Nov 10 2010 EXTENSIONS Definition corrected by Max Alekseyev, Nov 12 2010 Terms corrected by Joerg Arndt, Dec 27 2010 STATUS approved

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Last modified December 1 23:44 EST 2022. Contains 358485 sequences. (Running on oeis4.)