is the smallest Prime such that , , or is divisible by , where is the Primorial of . Ashbacher (1996) shows that only exists

- 1. If there are no square or higher powers in the factorization of , or
- 2. If there exists a Prime such that , where is the smallest power contained in the factorization of .

**References**

Ashbacher, C. ``A Note on the Smarandache Near-To-Primordial Function.'' *Smarandache Notions J.* **7**, 46-49, 1996.

Mudge, M. R. ``The Smarandache Near-To-Primorial Function.'' *Abstracts of Papers Presented to the Amer. Math. Soc.* **17**,
585, 1996.

Sloane, N. J. A. A013929 and A046026 in ``An On-Line Version of the Encyclopedia of Integer Sequences.'' http://www.research.att.com/~njas/sequences/eisonline.html.

© 1996-9

1999-05-26