George, Thank you for your email and your interest. In fact, Mersenne primes are far larger than the numbers you are describing. A Mersenne prime greater than 10 to the 19th power was discovered in 1883; since the computer age, we have discovered many more: the largest two known Mersenne primes, both discovered last year, are greater than 10 to the 12 millionth power. I don't think there are any prizes for prime numbers of the size you are describing: you are only talking about numbers in the billions to trillions range.
Regards, Ian -- Ian W Halliday, BA Hons, SA Fin, MIMIS, ATMG, CL 2009/10/25 George Louis <georgelo...@cox.net>: > Dear Hogranch, > > I've developed a recursive infinite sequence that includes many prime > > numbers and gets larger much faster than the Mersenne number sequence. > > It's not related to the Merseeene numbers. Because of it nature it's > > much easier to test and prove that a give number of the sequence is a > > prime than it is to prove those of the Merseene number sequence are > > prime, i.e. much less computing power. Could I still win all the > > prizes totaling $400,000 if I use my own sequence and prove that some > > of its large terms are prime numbers? If I generate and prove that > > one of its terms that's greater than 10 to the 9th power, will I only > > win $250,000 or will I also win the other $250,000 prizes because the > > prime is larger than those required for the lessor prizes? If I > > wouldn't win the other prizes then I wait until I've found numbers of > > the sequence that exceed each of the lessor requirements because my > > proof of my proffered prime number would enable others to generate and > > test those numbers and possibly win the other prizes before I'm ready. > > I believe that it may be relatively easy for me to find a prime > > number exceeding 10 to the 12th power with my sequence and testing > > that proves that a give member of the sequence is prime. > > > > You may respond via e-mail or call 7-days a week toll free > 888-588-9542 between 8AM and 11:45PM Pacific Time. > > > > Best regards, > > > > George S. Louis, CEO > > Digital Systems & Solutions > > > _______________________________________________ > Prime mailing list > Prime@hogranch.com > http://hogranch.com/mailman/listinfo/prime > _______________________________________________ Prime mailing list Prime@hogranch.com http://hogranch.com/mailman/listinfo/prime