123 is a peculiar integer, because 1+2+3=1*2*3. 1412 is also peculiar, since 1+4+1+2=1*4*1*2.
A simple question: are there infinitely many such numbers?
A not so simple question: if so, are there such numbers for ANY number of digits?
(In reply to Peculiars vs. Primes
For the first question: IF there are infinite "peculiar number n's" then there are as many as prime numbers... but you have to prove that there ARE infinite such numbers.
The second one is a even tougher one!