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 2020-02-12, 15:03 #1 enzocreti   Mar 2018 3×52×7 Posts N congruent to 2^2^n mod(2^2^n+1) 92020 is congruent to 2^(2^2) mod (2^(2^2)+1) where 2^(2^2)+1 is a Fermat prime Are there infinitely many numbers N congruent to (2^(2^n)) mod (2^(2n)+1) where (2^(2n)+1) is a Fermat prime?
2020-02-12, 15:13   #2
retina
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Quote:
 Originally Posted by enzocreti 92020 is congruent to 2^(2^2) mod (2^(2^2)+1) where 2^(2^2)+1 is a Fermat prime Are there infinitely many numbers N congruent to (2^(2^n)) mod (2^(2n)+1) where (2^(2n)+1) is a Fermat prime?
Of course there are.

16 mod 17 = 16
33 mod 17 = 16
50 mod 17 = 16
...

So what.

Last fiddled with by retina on 2020-02-12 at 15:14

 2020-02-12, 15:14 #3 enzocreti   Mar 2018 20D16 Posts ok ok nevermind

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