Exponent Vector

Let $p_i$ denote the $i$th Prime, and write

$$m=\prod_i {p_i}^{v_i}.$$

Then the exponent vector is ${\bf v}(m)=(v_1, v_2, \ldots)$.

See also Dixon's Factorization Method

References

Pomerance, C. ``A Tale of Two Sieves.'' Not. Amer. Math. Soc. 43, 1473-1485, 1996.