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Timeline for Efficiently getting bits of N! ?

Current License: CC BY-SA 2.5

10 events
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Apr 13, 2017 at 12:32 history edited CommunityBot
replaced http://cstheory.stackexchange.com/ with https://cstheory.stackexchange.com/
Apr 5, 2011 at 7:29 history edited dorkusmonkey CC BY-SA 2.5
gave crosspost (to cstheory) link and link to relevant website in the answer there.
Oct 16, 2010 at 20:41 answer added Quadrescence timeline score: 0
Oct 16, 2010 at 20:00 answer added Kristoffer Arnsfelt Hansen timeline score: 0
Oct 13, 2010 at 23:10 answer added Gene S. Kopp timeline score: 1
Oct 13, 2010 at 21:00 comment added dorkusmonkey @ohai: This site gets more traffic. If I don't get an answer in a reasonable amount of time I will cross post.
Oct 13, 2010 at 20:34 comment added ohai there is also a theoretical computer science stackexchange
Oct 13, 2010 at 19:43 comment added Willie Wong Some trivial observations: $\eta$ and $\mu$ should be related. If $\eta > 2^\mu$ (roughly, I may be missing a constant factor), then $N!$ has bit $M$ precisely 0. If $\mu > \eta 2^\eta$ then the bit is also 0. But the relationship doesn't seem to simplify the quesiton.
Oct 13, 2010 at 19:28 comment added AVS This doesn't answer your question, which I believe assumes that the base n is fixed, i.e. n=O(1), but I note that if n is allowed to grow with N, say log n ~ c log N for some small constant c > 0, then the answer to your question is almost certainly no, since a positive answer would give a polynomial-time algorithm to factor n (even just using M=0).
Oct 13, 2010 at 18:49 history asked dorkusmonkey CC BY-SA 2.5