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A130433 Even pseudoprimes to base 3. 16

%I #28 Mar 31 2024 02:08:06

%S 286,24046,232726,1304446,1707266,2232026,3197806,3922126,4446982,

%T 5603326,5886166,10123366,10169926,12304774,13658086,45133726,

%U 47766286,52249654,62656126,75421126,76254046,91459126,91612246,96956926,108571606,139868326,151513846

%N Even pseudoprimes to base 3.

%C The first 27 terms (halved) are given in Table 1 by Paszkiewicz and Rotkiewicz. - _R. J. Mathar_, Aug 22 2012

%H Amiram Eldar, <a href="/A130433/b130433.txt">Table of n, a(n) for n = 1..215</a> (terms below 10^12, calculated from the b-file at A005935; terms 1..68 from Jeppe Stig Nielsen)

%H Adam Paszkiewicz and Andrzej Rotkiewicz, <a href="http://tatra.mat.savba.sk/paper.php?id_paper=776">On a Problem of H. J. A. Duprac</a>, Tatra Mt. Math. Publ. 32 (2005) 15-32, MR2206908.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/FermatPseudoprime.html">Fermat Pseudoprime</a>.

%H <a href="/index/Ps#pseudoprimes">Index entries for sequences related to pseudoprimes</a>.

%t Do[ f=PowerMod[ 3, 2n-1, 2n ]; If[ f==1, Print[ 2n ] ], {n,2,7000000} ]

%o (PARI) forstep(n=4,10^10,2,Mod(3,n)^(n-1)==1 && print1(n,", ")) \\ _Jeppe Stig Nielsen_, Apr 25 2018

%Y Even terms of A005935.

%Y Terms of A122780 that are congruent to 2 or 4 modulo 6.

%Y Cf. A006935, A090082, A090083, A090084, A090085.

%Y Cf. A130434, A130435, A130436, A130437, A130438, A130439, A130440, A130441, A130442, A130443.

%K nonn

%O 1,1

%A _Alexander Adamchuk_, May 26 2007, Jun 17 2007

%E More terms from _Alexander Adamchuk_, Jun 17 2007

%E a(25)-a(27) from _Jeppe Stig Nielsen_, Apr 25 2018

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Last modified September 4 02:28 EDT 2024. Contains 375679 sequences. (Running on oeis4.)