The Smarandache constant x is the positive solution of 127x − 113x = 1. Its value is (sequence A038458 in OEIS). Smarandache conjectured that x is in fact the smallest solution xn of as n varies, where pn 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 s1 to s16, which involve the Smarandache function S(n), defined to be the smallest integer such that S(n)! is divisible by n.