primes that never divide 2^k+1

Richard Mathar mathar at strw.leidenuniv.nl
Sat Dec 8 19:02:40 CET 2007


solutions x = 0, 27, 35, 46, 48, 252, 104, 123, 69, 77, 51 etc in that order.
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Date: Sat, 08 Dec 2007 21:39:16 +0100
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Subject: Conjecture
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Who is able to proove my conjecture
"Prime factors of  **A050937(n)* 
<http://www.research.att.com/%7Enjas/sequences/A050937> are product of 
*A134852 <http://www.research.att.com/%7Enjas/sequences/A134852>(n)* sum 
of squares"
Exmple:
*4181 = 37*113 = (1^2+6^2)(7^2+8^2)
1346269=557*2417 = (14^2+19^2)(4^2+49^2)
etc.

Another words all of prime factors have to be congruent 1 mod 4

*ARTUR


*





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