Easier?
(For purposes of this problem, "number" means positive integer, and for (B), for even numbers less than 10 you may use 1 as a prime.)
Which of these two statements is easier to prove?
(A) Every even prime is the sum of two odd numbers.
(B) Every even number is the sum of two odd primes.
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1 solution
To prove (A) you simply write out 2 = 1 + 1
(B) is the legendary Goldbach conjecture. The best mathematicians in the word have been working on it for close to 300 years, and it certainly appears to be true, but a formal proof has proved elusive.