>>"Pseudo-Prime Sieve" by Brian S. McMillan >>Of the first 1000 pseudo-primes sampled, >>785 were of the (PP -1)/3 = INT type. While >>only 142 were of the (PP +1)/3 = INT type. >>While 73 were divisible by 3, which means >>(PP± 1)/3 = Fraction. So we will use only >>those primes or pseudo-primes which >>correspond to (EXP +1)/3 = INT which will >>yield almost a 86% accuracy rating for a >>pseudo-primality test! There are an infinite >>number of primes... so this wont be a >>problem. >>While only 5 out of 1000 of the (EXP +1)/3 >>were still divisible by 5, we have to use the >>fundamental rule of divisibility first... for >>obvious reasons. Divide by 5,7,11,13...etc. >>however a cap can now be set depending >>on the level of accuracy one may wish to >>achieve in relation to the (EXP ± 1)/3 test. >>The equation: PN (PN±2) = (2^P -2)/2... >>Proves through a classic application of the >>mathematical induction format there are an >>infinite number of Primes and >>Pseudo-Primes...heh,heh. >>Now you might be asking yourself, If you >>have seen my other e-mails, and you know >>that I'm working on a functional proof for >>the Wilson Theorem...Why bother with this? >>Because it's interesting and nobody has ever >>thought of this particular line of reasoning >>before...Try it, It really works! >>Signed: Brian S. McMillan, LUCKY MAN >>PS. I have noticed that a certain number of >>dual compound pseudo-primes are of a type >>which corresponds to (P1+N)/P2 = (N+1) >>WHERE: P1*P2 = Pseudo-Prime...For example >>IF: 11*31 = 341 >>THEN: (31+2)/11 = 3 >>IF: 31*331 = 10261 >>THEN: (331+10)/31 = 11 >>IF: 173*101653 = 16585969 >>THEN: (101653+590)/173 = 591 >>There are primes which are not duality >>compounded to reach pseudo-primes in >>BASE 2 that obey the rule (P1+N)/P2 = (N+1) >>IF: 37*19 = 703 >>THEN: (37+1)/19 = 2 >>There are also prime combinations >>which correspond to (P1-N)/P2 = (N+1) such >>IF: (23-1)/11 = 2 >>However, I did not find any of the last rule >>combinations in all of the Pseudo-Primes >>that I tested... Maby you can! >>Visit: "www.godkings.com"