Congratulations to Predrag and Larry. Some serious factorisation work there. I've written an entry in my diary. It rhymes with "Clucking Bell". Game on! ...
Hi, I have noticed that Fermat primes of the form 3^3^n + 2 exist for n = 0,1,5 trying n=9 below I get for 3^19686+2 is composite, having the factor 83559 ...
... I believe up to a certain bound you should use a dedicated sieving program for this, not PFGW. I'm not an expert on the programs available so I'll defer...
... I guess "other factors" means searching larger factors than default. pfgw -f uses a default trial factor limit. It tries to guess the most time-efficient...
Hans Rosenthal and I have found the largest prime Fibonacci cofactor: F(30671)/1141737296775689 (6395 digits) GMP-ECM found the prime factor 1141737296775689. ...
Congrats to Jens and Hans for ... There are probably more such PRPs that are too small for the ECPP top-20 but can make the list on other grounds, or can be a...
... work ... Thank you! ... We are sorry for any inconvenience. :-)) ... With pleasure. BTW, we are missing your "Titanic Prime Generalized Repunits" web page....
... Thanks. My part was limited. ... In my case it wouldn't be _a_ machine but _the_ machine. And you are right, but not limited to Primo: I don't want to run...
Hi, congrats to "Di Maria Giovanni" for submitting a non-prime to the submission page that has no factor less than 25473134 (and therefore for wasting thirty...
Paul, Please give this distinguished person his full title! You will see from http://primes.utm.edu/bios/page.php?id=826 that he is a Professor, like Chris :-)...
... Hey, unlike this fellow I have never submitted 4 (5?) composites in a row! ... Many years ago, yes. A high school kid in Canada kept submitting junk. I...
... Sorry: I might have compiled the straight list from another source and the "missing prime" was to small at the time for submission. Is this the case? Paul...
... I expect the factorization side of things to become even more intensive, now that Alex has registered: http://primes.utm.edu/bios/page.php?id=831 David...
... I don't understand. The link David provides takes us to a bio page, but ... A titan, as defined by Samuel Yates, is anyone who has found a titanic prime....
... If you are linux based, then you still wait for the Dev version (with smart factoring, extra functions, etc) I believe. David (who would love to be wrong...
... All pfgw versions do this. I would call it an odd feature, not a bug. -o is only intended to be used with -f. -f tells pfgw to factor. -f -d tells it to...
In the absence of any takers for my "little challenge": http://groups.yahoo.com/group/primeform/message/6677 it's time for a rather long post in explanation. ...
I was entranced by this when Mike told me about it, off list. I found one "pure cubic" field of interest to CHG enthusiasts. u = Mod(x-3,x^3-26) is a unit of...
Thanks for your kind remarks, David. ... This is a /really/ intriguing formula; how on earth did you arrive at it? (It seems you must have, inter alia, an...
The parsing issue is one of time and goodwill from Chris. I gave Chris the Pari-GP code for various Lucasian constructs and he got his parser to accept them...