Date post: | 16-Aug-2015 |
Category: |
Documents |
Upload: | nikos-mantzakouras |
View: | 38 times |
Download: | 0 times |
BrocardsConjecture Mantzakouras Nikos, May 2015 Brocard conjecture in 1904that the only solution of1 !2 = m nare n=4,5,7. There are no other solutions with910 < n.(Berndt and Galway n.d).Another of Brocards conjecture is that there are at leastfour primes between the squares of any two consecutive primes ,with the exception of 2 and 3.This related to Schinzels conjecture that,provided x is greater than 8,there is a prime between x and 2) (log x x + .(See Oppermans conjecture),[1]. The diophantineequation12m n! = Initial solutions for n