Re: [math-fun] Number Theory 101

Warut Roonguthai:

We can prove the primality of 1031113171922329313374143475355961677173797798983

That didn't take long. :) I would appreciate being notified of any errors in this compilation of solutions up to 120 distinct concatenated primes: http://chesswanks.com/seq/b083427.txt The entries from n = 26 on all rely on the assumption that the n smallest primes are concatenated, unless the resulting number is divisible by 3, in which case the n-th prime is replaced with the first available larger prime resulting in a concatenated number not divisible by 3. I trust that this method will fail as we further approach n = 168, and then work again in the digit-regime change starting at n = 169.