Hi folks >But isn't it nice that there is always something just beyond >our reach? Helps us stretch! Yes, it's the fact that last step *seems* so small that makes us even consider it. I just looked back over R(49081)'s N-1 known factors, a depressing read, there's a 3265-digit prp in there, but no motivation to go test it (even if we were prime confident, it might only make 15%, there's a lot of c3000's in there that seem ECM-resistant). [Most Wanted PRPs] >importantly, it should be someone who likes to spend time thinking >about how much work would be required to complete a proof. >The list would have to balance the most interesting numbers >with the most reachable numbers. (If the primes on the ten most >wanted are impossible, then what would the list be worth). It's a tricky balance. I have no idea what the right criteria would be. Definitely not size. Archivability, certainly. But whether something is reachable or not has to be involved too. The new base-10 repunit is beautiful and huge, but perhaps impossible. The recent generalized repunit was *so close* and it was wonderful to see how drumming a little interest managed to crack the nut in a relatively short time, not to mention made us all take a step back and think about it. >BUT if anyone would like to make such a list, I'd be glad to >give it a home OR would be glad to link to it where it is >(a PrimeForm directory?). A directory (or even tables in an egroups database) would work, databases can also be made public. This might provide an easy way for someone to create a not-too-beautiful, but not-too-much-trouble-to- maintain, listing, as long as enough thought is done upfront as in what to store, how to allow people to use it, whatever. If anyone would like to try this worthwhile endeavor, by all means! If it works, we can always think of more permanent options on primeform.net later, Chris

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