For over a week I have been using 40-60 64-bit computers in an attempt to find 2 AP22 with common difference. I have selected 43# as the common difference....
... Yes that is quite something, and with such a great application to the additive combination problem. Meanwhile, I'm about 90 percent done my run with...
I returned to this after completing some other tasks. 320572022166380880 +/- 30 +/- 9 +/- 5 +/- 3 gives 16 distinct consecutive primes. They can also be...
Searching for an AP19 with difference 19# I have determined that there are exactly 2 AP19 with the first term below 1522399116794903040 = 1.5224*10^18 and...
... Incredible find! And of course the prime tuple or constellation is symmetrical to boot. ... Hey, some of us rely on surprises that 'low', hehe. Mark...
... Congratulations on a two-for-one! http://hjem.get2net.dk/jka/math/aprecords.htm#minimal is updated with two new blue entries instead of red. If anyone is...
POAP - primes in oscillating arithmetic progression. Yes a kooky twist from the regular programming, pardon the pun. Its only appeal is that one can possibly...
I have changed my program searching for AP with difference 19# from AP19 exhaustive to AP21 exhaustive, which allowed me to move much faster. I have found: ...
Yesterday I started a search aimed at 18 Simultaneous Primes (BiTwin). So far I failed to improve SP18 record, but I have determined that the number ...
... Congratulations on another great result! The first BiTwin with 8 links as defined at http://www.primenumbers.net/Henri/fr-us/BiTwinRec.htm It also beats...
... Thanks. Another LUCKY result, I would say :-) At the moment I have the following solution count: 5 links or longer: 1022 6 links or longer: 42 7 links or...
Greetings to all. First, allow me to introduce myself. I am Bryan, currently living near Brisbane, AUstralia. I had been for the last 5 or so years working...
... I remember way back in high school coming across that result when we were studying the binomial expansion and Pascal's triangle. So yes you have been...
From: primenumbers@yahoogroups.com [mailto:primenumbers@yahoogroups.com] On Behalf Of Mark Underwood ... would suspect so. ... row number, is the ... from 0 to...
... When we speak of prime numbers, without any other context, the natural numbers are implied so the above is indeed the case. ... Of course when you switch...
I've discovered a relationship between factors of a target composite integer, and the factors of a related integer. If z = x y is a composite integer, then...
Hello all: Twin Primes Conjecture For all n positive integer exists always a couple of twin primes between Prime[n+1] and Prime[2n+1] n=1 Prime[2]=3 ,...
I offer a $25 prize to the first person who can submit a verifiable counterexample or proof for conjectures 5) or 7) below, and also a $25 prize for a proof of...
Hi, We can set much tighter bounds than prime(n+1) and prime(2n+1). Chebyshev said it and I'l say it again:There's always a twin between n and fn. Well, for...
Taking number 6... <snip> 6) If x > 1 , then A(x) will be composite if there exists at least one k value in the interval 2x < k < 3x such that T(k) is a square...
I have just found 3rd known (the largest known) prime 18-tuplet: Prime 18-tuplet 4530085223434265844952597 + d, d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42,...
... Congratulations on another impressive record! You now have all records for 15 to 21 simultaneous primes at http://hjem.get2net.dk/jka/math/simultprime.htm ...
... Congratulations! It always amazes me to see primes at those densities at such 'large' numbers. I wonder if future quantum computers (if such really are...
... primer. Patience would have been a virtue. If I had gone just a little further, to 1371, I would have found my first solution. A couple of days ago I...
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