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
re(3): Peculiars vs. Primes by Robby Goetschalckx)
"Probably there are more primes than peculiars" means "there are finitely many peculiars", so they are not both infinite -- and I guess that would be hard proving!