A binomial coefficient 
is said to be exceptional if 
. The following table gives the exception binomial
coefficients which are also good binomial
coefficients, are not of the form 
, and have specified least prime factors 
.
 | exceptional binomial coefficients |
| 13 |  |
| 17 |  ,  ,  ,  ,  , |
|  ,
 ,
 |
| 19 |  ,  |
| 23 |  |
| 29 |  |
See also
Good Binomial Coefficient,
Least Prime Factor
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References
Erdős, P.; Lacampagne, C. B.; and Selfridge, J. L. "Estimates of the Least Prime Factor of a Binomial Coefficient." Math.
Comput. 61, 215-224, 1993.Referenced on Wolfram|Alpha
Exceptional Binomial Coefficient
Cite this as:
Weisstein, Eric W. "Exceptional Binomial Coefficient."
From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ExceptionalBinomialCoefficient.html
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