Erdös-Selfridge Function
The Erdös-Selfridge function 
is defined as the least integer bigger than 
such that all prime factorsof 
exceed 
(Ecklund et al. 1974). The best lower bound known is
(Granville and Ramare 1996). Scheidler and Williams (1992) tabulated
up to 
, and Lukes et al. (1997) tabulated for 
. The values for 
, 3, ... are 4, 7, 7, 23, 62, 143, 44, 159, 46, 47, 174, 2239, ...(Sloane's A046105).See also Binomial Coefficient, Least Prime Factor
References
Ecklund, E. F. Jr.; Erdös, P.; and Selfridge, J. L. ``A New Function Associated with the prime factors of Erdös, P.; Lacampagne, C. B.; and Selfridge, J. L. ``Estimates of the Least Prime Factor of a Binomial Coefficient.'' Math. Comput. 61, 215-224, 1993. Granville, A. and Ramare, O. ``Explicit Bounds on Exponential Sums and the Scarcity of Squarefree Binomial Coefficients.'' Mathematika 43, 73-107, 1996. Lukes, R. F.; Scheidler, R.; and Williams, H. C. ``Further Tabulation of the Erdös-Selfridge Function.'' Math. Comput. 66, 1709-1717, 1997. Scheidler, R. and Williams, H. C. ``A Method of Tabulating the Number-Theoretic Function Sloane, N. J. A. Sequence A046105in ``The On-Line Version of the Encyclopedia of Integer Sequences.''http://www.research.att.com/~njas/sequences/eisonline.html.
. Math. Comput. 28, 647-649, 1974..'' Math. Comput. 59, 251-257, 1992.
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