... For even n > 2, let p(n) be the smallest prime p such n-p is prime. Let f(n) = ((log(n+2))^e)/2. Mark asks whether p(n) < f(n) for all n. It holds for n <...
... Great data! Thank you Jens. And here I was fiddling with formula based on my own numbers merely up to 10^8. Well - and I am somewhat surprised - so far...
... Brilliant stuff. At first I couldn't connect the dots between primes in arithmetic progression and what I was doing, but there it is. ... If so, it's not...
As part of the search for Brier numbers for bases other than 2, I have observed (although for only one base b=12), that primes that have an even multiplicative...
... That sounds great Phil. But because I am, shall we say, modest (embarrassed is more like it) about my code I'll send it privately. :) I have to rush out...
... Well, it was lucky and it happenned only once. ... Unfortunately I am unable to specify the progression difference in advance and THEN REASONABLY EXPECT to...
A beautifull day, i have written some nice algorithms for finding primes in quadratic polynoms : http://www.devalco.de/sieve_of_helmes.htm I hope that the...
Phil C quickly found (at least) two inefficiencies in my code, which after correcting produced at least twice the speed. So, in about 12 hours my imac found...
... Thinking about the above and Jens' reverse engineering, I decided to look at the problem in the reverse direction, starting with the primes themselves and...
Professor Caldwell: This did not seem to make it to the list. I am not sure why. It is On-Line Encyclopedia of Integer Squences A147666 and A147765. ...
miltbrown@...
Nov 30, 2008 2:31 am
19732
E=2.7182818284590... EulerGamma=0.5772156649... The FLOOR function returns the largest number that is less than or equal to the specified number. ...
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...
