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Further tabulation of the Erdös-Selfridge function |
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| Authors: | Richard F Lukes Renate Scheidler Hugh C Williams |
| Institution: | Department of Computer Science, University of Manitoba, Winnipeg, Manitoba, Canada R3T 2N2 ; Department of Mathematical Sciences, University of Delaware, Newark, Delaware 19716 ; Department of Computer Science, University of Manitoba, Winnipeg, Manitoba, Canada R3T 2N2 |
| Abstract: | For a positive integer  , the Erdös-Selfridge function is the least integer  such that all prime factors of  exceed  . This paper describes a rapid method of tabulating  using VLSI based sieving hardware. We investigate the number of admissible residues for each modulus in the underlying sieving problem and relate this number to the size of  . A table of values of  for  is provided. |
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