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I tried factoring the 6th Fermat number using the code below and

got F6 returned to me, suggesting that F6 is prime. Since one

factor of F6 is 274177, this seems to contradict Section 10.20

of the documentation, which states that "FactorsInt is

guaranteed to find all factors less than 10^6."

gap> FactorsInt( 2^(2^6) + 1); [ 18446744073709551617 ] gap> (2^(2^6) + 1) / 274177; 67280421310721 gap> quit;

I doubt that it makes any difference, but my hardware is a Turbo

Color NeXTstation running NeXTSTEP 2.1. My version of GAP is 3.1,

obtained as gapexe.next from SAMSON.

Edward Spitznagel

Department of Mathematics

Washington University

c31801st@wuvmd.wustl.edu

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