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arxiv: 1306.3091 · v4 · pith:IIKPJ46Wnew · submitted 2013-06-13 · 💻 cs.CC · cs.DM· math.NT

The straight line complexity of small factorials and primorials

classification 💻 cs.CC cs.DMmath.NT
keywords complexitystraight-lineboundsdeterminecomplexitiescomputerexhaustivefactorials
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In this paper we determine the straight-line complexity of $n!$ for $n\leq 22$ and give bounds for the complexities up to $n=46$. In the same way we determine the straight-line complexity of the product of the first primes up to $p=31$ and gives bounds for $p\leq 43$. Our results are based on an exhaustive computer search of the short length straight-line programs.

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