Three primes

Number Theory Level pending

If a a , b b , and c c are three different prime numbers , what do we know about a b c − a − b − c abc - a - b - c ?

It's prime It's not prime It's even We can't tell if it's even, odd, prime or composite It's odd

Geoff Pilling by Geoff Pilling , 53, USA

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1 solution

Geoff Pilling
Apr 16, 2016

Either one of them is a 2 or none of them are 2's. If one is 2, then the sum is two odd numbers and an even number subtracted from an even number which is even, and if they are all odd, the sum is an odd number with three odd numbers subtracted from it, which is also even.

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