An elementary conjecture which implies the Goldbach conjecture


Let p_1, ..., p_k be the first k odd primes in succession. Let n be an even integer such that n > p_k. We conjecture that if none of n - p_1, ..., n - p_k are prime, then at least one of them has a prime factor which is greater than or equal to p_k. In this brief note, we observe that Goldbach's conjecture follows from this conjecture.




source tarball

Last updated: 21:38 (GMT+2), 12th January 2019.