101 is a sum of n distinct primes,

What is the greatest value of n ?

The sum of the first 9 primes is 100, so for there to be a solution with 9 distinct primes we'd need to replace one of them with a prime that is 1 greater, which isn't possible.  Therefore the largest possible solution would be when n = 8, which is easily found as the first 7 primes + 43. 

Posted by tomarken on 2021-06-16 07:44:34