A Smarandache -like function which is defined where
where
The functions
OEIS 1 A000027 1, 2, 3, 4, 5, 6,
7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, ... 2 A019554 1,
2, 3, 2, 5, 6, 7, 4, 3, 10, 11, 6, 13, 14, 15, 4, 17, 6, ... 3 A019555 1, 2, 3, 2, 5, 6, 7, 2, 3, 10, 11, 6, 13, 14, 15, 4, 17, 6, ... 4 A053166 1, 2, 3, 2, 5, 6, 7, 2, 3, 10, 11, 6, 13, 14, 15, 2, 17, 6, ...
See also Pseudosmarandache Function ,
Smarandache Function ,
Smarandache-Kurepa
Function ,
Smarandache Near-to-Primorial
Function ,
Smarandache Sequences ,
Smarandache-Wagstaff Function
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References Begay, A. "Smarandache Ceil Functions." Bull. Pure Appl. Sci. 16E , 227-229, 1997. http://www.gallup.unm.edu/~smarandache/smarceil.htm . Sloane,
N. J. A. Sequences A000027 /M0472,
A019554 , A019555 ,
and A053166 in "The On-Line Encyclopedia
of Integer Sequences." Smarandache, F. Collected Papers, Vol. 2.
Kishinev, Moldova: Kishinev University Press, 1997. Smarandache, F. Only
Problems, Not Solutions!, 4th ed. Weisstein,
E. W. "Gigantic Primes with Prime Digits Found." MathWorld Headline
News , Apr. 9, 2002. http://mathworld.wolfram.com/news/2002-04-09/primeprimes/ . Referenced
on Wolfram|Alpha Smarandache Ceil Function
Cite this as:
Weisstein, Eric W. "Smarandache Ceil Function."
From MathWorld https://mathworld.wolfram.com/SmarandacheCeilFunction.html
Subject classifications
is defined as the smallest integer for which 
. The Smarandache 
function can therefore be obtained by replacing any factors
which are 
th
powers in 
by their 
roots.
is the number of solutions to 
.
for 
,
3, ..., 6 for values such that 
are tabulated by Begay (1997). The following table
gives 
for small 
and 
,
2, ....
