20110905, 19:13  #1 
Dec 2010
2·37 Posts 
Generalized Fermat factors  why?
Why do mathematicians care about generalized Fermat factors and extended generalized Fermat factors?
I'm curious, because I've discovered three extended generalized Fermat factors myself as a result of finding some low kvalue Proth primes. 63*2^1356980 + 1 divides xGF(1356973,11,4) 229*2^484018 + 1 divides xGF(484017,11,9) 1137*2^79616 + 1 divides xGF(79615,12,7) I can understand the search for classical Fermat factors, mainly because that search is limited, but it seems arbitrary to stop the search for extended GF factors at a=12. Why not a=68, b=65? Do such discoveries aid mathematicians in any way? 
20110905, 23:00  #2  
"Mark"
Apr 2003
Between here and the
2·7^{2}·71 Posts 
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