The Smarandache constantxis the positive solution of 127^{x}− 113^{x}= 1. Its value is(sequence A038458 in OEIS). Smarandache conjectured that x is in fact the smallest solution x_{n}ofas n varies, where p_{n}is the nth prime, and interpreted this as a generalization of Andrica’s conjecture.It should not be confused with a list of sixteen Smarandache constants denoted

s_{1}tos_{16}, which involve the Smarandache functionS(n), defined to be the smallest integer such thatS(n)! is divisible byn.

So says the Wikipedia entry on colorful, sometimes reviled mathematician and poet-mathematician-writer-philosopher Florentin Smarandache.