rec.puzzles Archive

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. ]