[seqfan] Why is 265 not a strong pseudoprime to base 54?

Alonso Del Arte alonso.delarte at gmail.com
Wed Jul 18 21:36:53 CEST 2018


Why is 265 not a strong pseudoprime to base 54? It's not listed in
A020280, so there must be a good reason.

54^264 = 1 mod 265, but of course that's not enough to be a strong
pseudoprime. Since 264 = 8 * 33, I check that 54^32 = 1 mod 265. Did I
take a wrong turn somewhere?

Al

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Alonso del Arte
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