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| A329223
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Poulet numbers (Fermat pseudoprimes to base 2) that are congruent to either 3 or 27 (mod 80) and each prime factor is congruent to 3 mod 80.
(history;
published version)
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#17 by Peter Luschny at Sun Dec 01 16:12:24 EST 2019
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#16 by Hugo Pfoertner at Sun Dec 01 14:03:35 EST 2019
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#15 by Michel Marcus at Sun Dec 01 12:15:34 EST 2019
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#14 by Michel Marcus at Sun Dec 01 12:15:24 EST 2019
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| COMMENTS
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If a term of this sequence is also a Carmichael number (A002997) and a Lucas-Carmichael number (A006972), then it would be a counterexample to Agrawal's conjecture, as Hendrick Lenstra, H. W. and Carl Pomerance showed.
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approved
editing
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#13 by Joerg Arndt at Sun Dec 01 11:15:18 EST 2019
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#12 by Hugo Pfoertner at Sun Dec 01 10:43:37 EST 2019
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#11 by Jon E. Schoenfield at Tue Nov 19 23:34:01 EST 2019
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#10 by Jon E. Schoenfield at Tue Nov 19 23:33:58 EST 2019
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330468624532072027 is the only Carmichael number bellowbelow 2^64 that is a term of this sequence. However, it is not a Lucas-Carmichael number.
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proposed
editing
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#9 by Michel Marcus at Tue Nov 19 08:42:04 EST 2019
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#8 by Michel Marcus at Tue Nov 19 08:41:59 EST 2019
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| LINKS
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Lenstra, H. W.; Pomerance. Lenstra, and Carl (2003), < Pomerance, <a href="http://www.aimath.org/WWN/primesinp/primesinp.pdf">Remarks on Agrawal's conjecture</a>, American Institute of Mathematics (2003), pp. 30-32.
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proposed
editing
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