Thread: Wacky residuals thread View Single Post
2009-06-03, 17:57   #52
henryzz
Just call me Henry

"David"
Sep 2007
Liverpool (GMT/BST)

32×5×7×19 Posts

Quote:
 Originally Posted by henryzz a list up to n=1000 made using llr's predecessor prp Code: 4259877765*2^4+1 4259877765*2^10+1 4259877765*2^16+1 4259877765*2^139+1 4259877765*2^142+1 4259877765*2^328+1 4259877765*2^415+1 4259877765*2^583+1 4259877765*2^868+1 4259877765*2^883+1 these numbers are all prime: Code: (4259877765*2^4+1)/7 (4259877765*2^10+1)/7 (4259877765*2^16+1)/7 (4259877765*2^139+1)/7 (4259877765*2^142+1)/7 (4259877765*2^328+1)/7 (4259877765*2^415+1)/7 (4259877765*2^583+1)/7 (4259877765*2^868+1)/7 (4259877765*2^883+1)/7 edit: it works the other way as well i searched for primes of the form "(4259877765*2^n+1)/7" up to n=10k and then checked the residue for "(4259877765*2^n+1)" and it was always the same edit2: just realised that the numbers all have the same residue to each other in other prp bases as well though different to 3-prp
i just found this: