Given the sum-of-Factorials function

is the smallest integer for Prime such that is divisible by . The first few known values are 2, 4, 5, 12, 19, 24, 32, 19, 20, 20, 20, 7, 57, 6, ... for , 11, 17, 23, 29, 37, 41, 43, 53, 67, 73, 79, 97, .... The values for 5, 7, 13, 31, ..., if they are finite, must be very large.

**References**

Ashbacher, C. ``Some Properties of the Smarandache-Kurepa and Smarandache-Wagstaff Functions.'' *Math. Informatics Quart.*
**7**, 114-116, 1997.

``Functions in Number Theory.'' http://www.gallup.unm.edu/~smarandache/FUNCT1.TXT.

Mudge, M. ``Introducing the Smarandache-Kurepa and Smarandache-Wagstaff Functions.'' *Smarandache Notions J.* **7**, 52-53, 1996.

Mudge, M. ``Introducing the Smarandache-Kurepa and Smarandache-Wagstaff Functions.'' *Abstracts of Papers Presented to the Amer. Math. Soc.*
**17**, 583, 1996.

© 1996-9

1999-05-26