Is every even number greater than 2 the sum of two primes?
arithmetic/sum.of.two.primes New
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Problem
Is every even number greater than 2 the sum of two primes?
Show solution
It cannot be proved as its not true :) For example: 54351851846387321657425187487632515465443245468743 78135454651324200651249853247812684321345645654546 26534414423413253441234532341055442526737897821323 34458654234414544512412354452674655749058354422455 74325254254644656548665789781223743240710654232345 41253464546753634564687787453355645434547768734526 42653444453776856775344263354646857587235446123423 54154454564277877246234078509863456745948567322634 84376982639485765345095687028376463746582756435323 48745457544526843242162754235543546457234564573556 546 Cannot be written as the sum of 2 primes. This is the smallest such number. I hope I didn't mistype this. :) -- Matthew Roozee <mroozee@math.uci.edu> [ Editor: the posting is a joke, as its smileys show. The statement is Goldbach's conjecture, which is unproved; no proof or genuine counterexample appears in the collected postings. ]