for prime is the smallest integer such that . The first few known values of are 2, 4, 6, 6, 5, 7, 7, 12, 22, 16, 55, 54, 42, 24, ...
for ,
5, 7, 11, 17, 19, 23, 31, 37, 41, 61, 71, 73, 89, .... The function doe not exists for , 13, 29, 43, 47, 53, 67, 79, 83, ....
Ashbacher, C. "Some Properties of the Smarandache-Kurepa and Smarandache-Wagstaff Functions." Math. Informatics Quart.7,
114-116, 1997.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.
for 
prime is the smallest integer 
such that 
. The first few known values of 
are 2, 4, 6, 6, 5, 7, 7, 12, 22, 16, 55, 54, 42, 24, ...
for 
,
5, 7, 11, 17, 19, 23, 31, 37, 41, 61, 71, 73, 89, .... The function 
doe not exists for 
, 13, 29, 43, 47, 53, 67, 79, 83, ....
