Smarandache Near-to-Primorial Function
is the smallest Prime such that 
, 
, or 
is divisible by 
, where is thePrimorial 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 .
does not exist for the Squareful numbers 
, 8, 9, 12, 16, 18, 20, 24, 25, 27, 28,... (Sloane's A013929). The first few values of , where defined, are 2, 2, 2, 3, 3, 3, 5, 7, ...(Sloane's A046026).See also Primorial, Smarandache Function
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 andA046026 in ``An On-Line Version of the Encyclopedia of Integer Sequences.''http://www.research.att.com/~njas/sequences/eisonline.html.
- Intersphere
- Interval
- Interval Graph
- Interval Order
- Intrinsically Linked
- Intrinsic Curvature
- Intrinsic Equation
- Invariant
- Invariant Density
- Invariant (Elliptic Function)
- Invariant Manifold
- Invariant Point
- Invariant Subgroup
- Inverse Cosecant
- Inverse Cosine
- Inverse Cotangent
- Inverse Curve
- Inverse Filter
- Inverse Function
- Inverse Hyperbolic Cosecant
- Inverse Hyperbolic Cosine
- Inverse Hyperbolic Cotangent
- Inverse Hyperbolic Functions
- Inverse Hyperbolic Secant
- Inverse Hyperbolic Sine