... ****************************** I understand well your answer and agree but I have an other question I contruct 100 random numbers n product of 5 random...
Hi, Can someone help me please? I've downloaded pfgw_ver_12_linux.gz (thanks devs) in order to verify a few largish PRPs. I have a couple questions: a) Will it...
6-30-2008 Thanks George, for the prompt reply. I used to be Senior Technical Lead at IBM, but its been years since I tried a big project compile. I was hoping...
... Please do /not/ use the word "certified" in step 2. It is not a certification, it is another PRP test, using a composite base taken from the bogus helper...
... PFGW cannot prove primality without 33% factorization of N^2-1. Thus you would have to try to combine it with GMP-ECM. The already very slow ECPP method is...
... But that was quite wrong, sorry. The BLS test is to find a base b such that b^(N-1) = 1 mod N (PRP test) and then test that gcd(b^((N-1)/q)-1,N) = 1 for...
Hello Group! After sieving through roughly 1.5 trillion candidates between 281 and 302 digits and about 150 million prp tests I discovered yesterday a new...
... **************************** David may be wrong ? never ! (joke) I found why when a number of the form N^2+N+1 or N^2+N-1 is PRP it is near alway Prime so...
Congratulations to you , Dirk ! ..... Norman Auch wenn ich leider nie eine Antwort bekommen habe ! ... Von: Dirk Augustin <dirk.augustin@...> Betreff:...
... Congratulations! http://hjem.get2net.dk/jka/math/simultprime.htm is updated. http://hjem.get2net.dk/jka/math/Cunningham_Chain_records.htm isn't, but you...
... Most of my first ideas are wrong, in some respect. But fortunately, when I write them down, I see some of the mistakes... ... Thanks for those informative...
... There is at least one more: N^2+N-1 is Carmichael for N=1658878 Warning to newcomers: PFGW should run for ever if you type pfgw -t -q"1658878^2+1658878-1" ...
... I just checked my membership details here and there was still my old e- mail adress from Vodafone which I cannot read anymore since about 8 months because...
... ******************************************* There are no more N for a Carmichael number of these form for N between 1658879 and sqrt(10^17) , may be they...
... ********************************************** I found that there are no Carmichael numbers < 10^17 of the form N^2+N+3 , N^2+N+5 , N^2+N+13 , N^2+N+17 And...
Hi all! I just tried to update my cunningham chain record page here in the file section but after clicking under Actions on "Edit" I only get the "File Name"...
... ******************************** I get it now until 10^18 For N^2+N+1 Carmichael for N = 2304 47735 97944 172799 683808255 998531381 For N^2+N-1 Carmichael...
... Here is my output, from the Pinch file: [2304, 47735, 97944, 172799, 683808255] [19801, 60958, 293326, 1658878, 675557401] 1401644 tests One of us has...
... ************************* I do , 998531381 is not on the list , sorry (forget EXCEL works only with 14 digits lol !) You know you are never wrong ! ...
... Phew! I was getting worried about my Pari-GP code, which finds all the true Carmichaels, up to 10^18, with the forms N^2 + N +/- 1, in 7.3 seconds,...
David, You are hilarious sometimes! I'm a tenor myself, although not very operatic, and I appreciate the music in the link you sent. Thanks! Tom Hadley ( now...
... [Note: In the above "+-" or "-+" is used conjunctively.] I have now tested this, replacing step 5 with "Q^n==Q mod n" [Fermat], for n<4*10^6 with all valid...
Hi, here is another answer to David's http://tech.groups.yahoo.com/group/primeform/message/7338 but this time 6 selfridge. Defining M = [a-1,-1;1,0] and N =...