Hello all: Let F(n)=P(n)!-P(n)!!+2 P(n) n-th prime F(1)=2 Prime F(2)=5 Prime F(3)=107 Prime F(4)=4937 Prime Find another prime number in this secuence ...
if we were to define all integers as prime numbers, then it's certainly easy to prove that Goldbach's Conjecture is correct. we differentiate primes from...
Recently, while working on something else, I invented as a side effect, a new(?) algorithm to find factors of an integer N. Specifically, I believe I could...
a simple calculus-based definition can be used to solve the following two questions: ... all Mersenne numbers, Mp, are square-free, where 'p' is prime, & all...
Off Topic: (Small is not uglier than big). (n^625+2) /2011 is prime for n= n = 2513759 , n = 8401967,... Puzzle: Find another prime p such that there is n...
Dear group! Some of us are interested in the distribution of prime numbers and irregulatities of this distribution. One may recall an old paper by Richard P....
I had been trying to map the primes "P" that are equidistant for all integers "I" by attempting to establish a unique "N" - the integer distance from each...
Hi, Group. ... (all of them can be proved similar to this one) ... 1. theorem: if k >1 and p= 4k +1 is 'prime', then 2*p +1 is also 'prime' iff 2*p +1 divides...
Hi, according to http://primes.utm.edu/primes/lists/all.txt PG has no doubly beastly exponents (666666) except for those which are part of David Broadhurst's...
An integer is called p-smooth for a given prime p, if its prime factors don't exceed p. Sometimes a few consecutive integers are p-smooth (of course, we are...
Puzzle: Prove (but not experimentally) that there is a value of t for which (2/3)*sqrt(6*t+1)*cos(arc cos(27*t^2+18*t-25)/(2*(6*t+1)^(3/2)))/3)+1/3 is a prime...
d=9754975 has 33*2 points ? factor(9754975) %1 = [5 2] [390199 1] and 390199 is a 3 mod 4 prime. So the number of points does not depend on the prime factors...
Hi, I have found what may be the largest explicitly known gap between two consecutive primes. The bounding (probable) primes are 2^8191 + 19506585 and 2^8191 +...
11796^7+7^11796 is proven prime with ECPP: http://www.primefan.ru/stuff/primes/certs/11796_7.zip I've got the prover code c57 but can't submit this prime with...
Not directly related with primes , with fractal dimensions, rather. Is there a way to solve the general power equation: a*b^x+c*d^x+e=0 with b and d integers...
Hello all: I've gotten all these formulas are verified for ALL Prime Numbers based on the harmonic numbers. Pn = Floor [H [(1 +1 / Pn) ^ ((Pn) ^ 2)]-EulerGamma...
Hi, If there is a better forum to post this to, please inform me. I am using NewPGen 2.82 to sieve a range. It is removing some k's that should stay and...
Having today proven a new 100K-plus digit prime, I thought I would visit Chris's page http://primes.utm.edu/primes/lists/all.txt to see how big a prime has to...
It took a couple of minutes to break PFGW Version 3.5.4 using 64-bit linux: $ more tmp ABC nextprime($a) & p($b+1) & nextprime($a)-p($b+1)+F(5387) 1001000000...
I am very happy with the performance of NewPGen and pfgw when sieving numbers of special forms. Is there something comparable that would allow me to enter an...
