Allen Poapst wrote: >If so, I have found a formula for the prime sequence which I am trying to >get published through the university I am attending. Yes I know this is a >hotmail account and an informal letter, but it is just for inquiry purposes. > >Though the formula I have works in the following manner: > >f(x) = x.... > >x f(x) >2 1 >3 2 >5 3 >7 4 >11 5 >13 6 >. . >. . >. . >200,000,093 -> 11,078,945th prime (using my program that simulates my >formula, this calculation on my notebook takes 11 seconds) > >etc... until infinite, although I have only tested my formula to >approximately 5 million, using a computer simulation, the logic of the >formula makes sense for all numbers, since I found a pattern that my formula >exploits. So if you give a prime number into my formula, it will pop out >where it is in the prime sequence, though I have not found a formula that >works the other way around, where you give the position in the sequence and >the formula pops out the prime number. >
you sent your message to a email list, rather than an individual... the GIMPS project is searching for very(!) large prime numbers, the latest one they found is 2^^32582657 -1, which is 9.8 million decimal digits long. Details on this project are here, http://mersenne.org/ a decimal representation of this number is here -> http://www.mersenne.org/prime10.txt (note this is a ~ 10 megabyte file, it will take a while to download) if you could plug that into your formula, you say it would tell us which prime number it is ? You might have difficulty with the size of the numbers, traditional techniques for multiprecision arithmetic tend to break down when you're dealing with 4 megabyte wide numbers. BTW, the US$100,000 prize money was put up by the EFF (Electronic Frontiers Foundation), and its for discovering the first prime number over 10 million digits long. See http://www.eff.org/awards/coop.php _______________________________________________ Prime mailing list [email protected] http://hogranch.com/mailman/listinfo/prime
