I have obtained a curious aproximation to Apery constant Zeta(3)= 1.2020569031595942... (199/155)(16/165)^(3/2)Pi^3 Can someone test with a super computer...
Hello all: My ​​equivalence for twin primes has been posted today here:  http://www.primepuzzles.net/puzzles/puzz_580.htm  Sincerely  Sebastian...
I have finished up changes for PFGW 3.4.6. Here is a list of changes: 1) Use gwnum for POWMOD script function when numbers are larger than 650 bits. 2) Added...
Dear primenumbers group members, If anybody might be interested in pursuing the question of whether there might be a message (an actual message) where I...
Let F(N) be the smallest number of operations required by any algorithm which employs only +, -, *, and /, starts out with 0 and 1, and computes a number N. ...
Warning: This whole post, while I believe it is correct, quite likely is useless and stupid and of mere curiosity or recreational value. As you probably know,...
Dear Participants, I have made a personal indirect (through Martin Gelfand at Colorado State, who said I should get a job with IBM when I was in highschool...
I have finished up changes for PFGW 3.4.5. Here is a list of changes: 1) Updated to gwnum v26.5 2) Fixed memory leaks in 64-bit builds 3) Fixed other known...
I only have access to things already downloaded to my computer, so if someone else is interested in verifying that the first 8082 digits of the exponential...
I have written a few algebraic factoring routines. They are intended to quickly factor numbers for which one factor is very close to an integer multiple of the...
Dear members Thank you for your attention. I have worked on the Goldbach conjecture and I think to find its solution now. Â I studied it using geometrical...
(3^5-1)/(3-1) = 11^2 and hence sqrt(Phi(5,3)) = 11 is an integer. Might there be another (n,b) integer pair, with n>2 and b>1, such that sqrt(Phi(n,b)) is an...
(2^3)*(3^5)*(4^7)*(5^11)*(6^13)+1 and (2^3)*(3^5)*(4^7)*(5^11)*(6^13)*(7^17)*(8^19)*(9^23)*(10^29)*(11^31)*(12^37)*(13^41)+1 are prime. Tempted to submit to...
I don't know if this one's known. It seems likely it's been seen before. The smaller prime for the 71st prime gap of exactly 100 is the 966699th prime,...
A115091 in the OEIS declares there are no primes 613<p<10^6 such that there is a k<p for which p^2|k!+1 and no p<10^8 with k<1201. Three PARI/GP windows are...
I've implemented the algebraic factoring routine for getting the algebraic factors of the difference of two powers, where one power is significantly larger...
Hi. This is my first post here. I'm inquiring as to whether somebody might want to put a fair amount of power behind a search I'm doing. I have the first...
The final two primes of (record-setting) 101 consecutive, 35 below 56660000 and 66 above, with successive primes not having the same final digit as their...
Let n be an integer greater than 1, and p be a positive integer. We will call p a prime number with respect to multiplication modulo n if p<n and, whenever x...
