18 Dec
2011
18 Dec
'11
12:40 p.m.
Allan Wechsler:
The graph suggests that bases fall into families characterized by k/b.
In prime bases, k=b. In others, k appears to be divisible by b-1. Conjecture: If the prime factorization of composite b is p1^e1 * p2^e2 * p3^e3 * ..., then the factorization of k/(b-1), and x also, are each a product of powers of primes that are a subset of {p1, p2, p3, ...}.