For those interested, exhaustive searching for contradiction to 2nd HL conjecture has reached 2303. All maximum density patterns have been recorded for widths...
I was unable to find any web references other than Dirichlet's theorem. Is the following statement obviously deducible from it or from some other theorem or...
w_sindelar@...
Feb 5, 2009 2:53 pm
19841
Hi, The sum of the digits times the position of the digits in n appears to produce the integers which include the prime numbers. Let n = d(1)d(2)...d(n) where...
... That's unconventional. Normally indices will match the power, so d(n)*10^n + ... + d(0). ... Ug. That's not what I imagined. I imagined the above in my...
... From: Maximilian Hasler <maximilian.hasler@...> Date: Sat, Feb 7, 2009 at 7:25 AM Subject: Re: [PrimeNumbers] Sum of products of digit and their ...
Hi Maximillian and others, Sorry for the sloppy first post. I confused n with the number of digits of n.The iteral n is so often used as an index or general...
Hi group, I know this group is not really the right place for the following questions. I posted it to openpfgw group first but I had no answer. I also posted...
Hi, prime folks, Primes from permutation of prime digits ======================================= For each prime p, define perm(p) = number of permutations of...
... first case of perm(p)>10^4 is perm(100123697)=10042 and of course i mean "distinct primes", otherwise perm(11)=2 - curious enough. maximal perm for first...
... 64 ... HNY Jarek and other prime fanatics. I guess there are some APs on the page http://www.primegrid.com/stats_ap26.php (including an AP25) that ought to...
The 3 AP24 and the AP25 found by PrimeGrid AP26-Search are rediscoveries of known results. One more known AP24 is going to be rediscovered. There are 5 more...
... Interesting. It's surprising to me that the number of odd digits barely outnumbers the number of even digits in these primes with maximum perms. Must be a...
Hi all: I am working on a number theory problem and am calculating billions and billions of iterations related to the problem to get an understanding of how...
... The first thing to do is to work on improving your algorithm. Try to ensure that you don't calculate anything expensive twice, and deduce things from...
You are sending me digests as requested, but a number of individual messages are still coming thru as well. If possible, would appreciate your attention to...
... Thereafter, 11-digit primes become somewhat memory-intensive, in my simple-minded implementation, using GP's "vecsort". Might Zak and/or Maximilian confirm...
Here is the new AP20 with the smallest known start. 566547019 + 846627559*19#*n, n=0,..,19 (Aleksander Parkitny, BOINC@Poland, Jaroslaw Wroblewski) The credit...
... Congratulations! An 18-tuplet is very impressive and this is your fifth. http://users.cybercity.dk/~dsl522332/math/simultprime.htm is updated. -- Jens...
Here is the new AP21 with the smallest known start. 124701216737 + 9986827*19#*n, n=0,..,20 (Ryszard Walczak, BOINC@Poland, Jaroslaw Wroblewski) The credit...
Hello everybody: Having used a nice observation, I have proved the following statement using Fermat's last theorem: the nth root of 2 is not rational for...
... You were lucky to be at high school after Fermat's last theorem was proven :-) http://www.mathpath.org/proof/nthroot.irrat.htm gives the argument in Hardy...
... Congrats. http://users.cybercity.dk/~dsl522332/math/aprecords.htm is updated. I have added tables with record histories for the smallest known difference, ...
Hello all: Let p and q two distinct odd prime numbers. p and q are twin primes if and only if (p+q)/(p-q) is integer. --> trivial <-- A= (p+q)/(p-q) Integer...
Hello: Let p and q odd prime numbers p>q by Dirichlet theorem exist t1 and t2 positives integers that p+t1(p-q) and q+t2(p-q) are primes.Can someone prove...
Wouldn't this imply the twin prime conjecture ? (for p=q+2 it would imply existence of another twin prime pair at (q,p)+2t, and then so on) Regards, Maximilian...
Twin prime conjecture is precisely what I am trying to prove with this conjecture. We can prove by Dirichlet Theorem that exist the same t?We know by ...