Hello group ! The new URL is http://anthony.d.forbes.googlepages.com/ktuplets.htm regards Norman Wissenswertes für Bastler und Hobby Handwerker. BE A BETTER...
... It is possible to do slightly better and reduce the number of irreducible sextics to 5/12, instead of the 6/12 that I used. The answer is (Euler's?) 41: ?...
... Congratulations! It's also the largest known AP23 after a month where no AP-k was AP-(k-1) record. http://hjem.get2net.dk/jka/math/aprecords.htm is...
Let b=4011209802600 m=16812956160*b x=5000001251617*b y=(2*x^6+3*x^3-148)^2 N=(y-11^4)*(y-35^2)*(y-47^2)*(y-94^2)*(y-146^2)*(y-148^2)/m-4 then N+k is...
... PS: I remark that the search reported in http://portal.acm.org/citation.cfm?id=950414.950443 failed to improve on Nuutti Kuosa's wonderful discovery of 3...
The Prouhet-Tarry-Escott chain for the records with k=8,9,10 is very simple. We simply use products of the 3 complex Gaussian primes with smallest odd norm: ?...
... Congratulations on your 10th record in a month! (counting as multiple records when it was record for multiple lengths) I'm impressed. The record page is...
... I'm even more impressed by that fact that Peter Borwein, Petr Lisonek and Colin Percival were unable to improve on Nuutti's polynomial, after expending...
... Their Math.Comp. article currently leaks out of googling "35, 47, 94, 121, 146, 148" even though it /ought/ to be password protected. Verbum sat sapienti? ...
I just need to understand , I found that n^14-n^7+1 is never prime for n integer until more that 6000000 If this is always true , why ? When using pfgw...
... n^14-n^7+1 = (n^2-n+1)*(n^12+n^11-n^9-n^8+n^6-n^4-n^3+n+1) ... 729^14-729^7+1 is indeed 3-PRP. Note that 729 = 3^6. Some number forms involving powers of b...
... wrote (as Jens had done before) ... The larger factor is Phi(42,n), which is a BPSW probable prime for 28,536 of the first million natural numbers: ct=0; ...
http://groups.yahoo.com/group/primeform/files/NTG/NTGmerit.txt ... M p n digits who when prime 27.835 2425 13500 24370 x23 2006 primV(2425,1,13500) ...
... But there was plan to improve on that probable factorization: http://hjem.get2net.dk/jka/math/consecutive_factorizations.htm ... Perhaps this trawl will...
... You mailed 18 minutes after the record was added. That was fast! The hit was prp64853 = (3045*2^215472-2)/(2*17*1151*27067*173473). Chris Chatfield found...
By extending the method of Coppersmith and Howgrave-Graham, we have proven the primality of the primitive part of the generalized Lucas number V(42,-1,23376),...
... Today I made some progress with the PTE problem: http://listserv.nodak.edu/cgi-bin/wa.exeA2=ind0709&L=nmbrthry&P=R994&D ... It may take a good while longer...
... but either Yahoo or I mangled the link, which should have been http://listserv.nodak.edu/cgi-bin/wa.exe?A2=ind0709&L=nmbrthry&P=R994 In any case, the...
Ken Davis found 28000+ 10043-digit primes for an AP4 search: http://tech.groups.yahoo.com/group/primeform/message/8762 He has kindly given me access to 28772...
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