Timeline for Can the relative count of the primefactors in $\small \lim_{w\to\infty}\prod_{k=1}^w (p_k-1) $ be determined analytically?

10 events

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May 23, 2012 at 11:03	comment	added	Timothy Foo		Oh, thanks very much! If there is more to say about the general case, I'll let you know!
May 11, 2012 at 17:56	comment	added	Gottfried Helms		I'm "accepting" the answer because there has been no more activity for a long time. Your derivation is helpful anyway and I'll try to generalize it. Thanks for your input!
May 11, 2012 at 17:53	vote	accept	Gottfried Helms
Dec 22, 2011 at 2:06	history	edited	Timothy Foo	CC BY-SA 3.0	added condition
Dec 20, 2011 at 17:48	comment	added	Gottfried Helms		Hmm, thank you for your input - I'll need a certain time to digest this. I was approaching the problem using little Fermat/Euler's totient function (and the connection to geometric series for the infinite case) but, for instance, was unsecure, what effect the higher fermat-quotients would introduce- they should "lift" the sums of primefactors q - but their occurences have no simple formula. Well, such effects should vanish if w goes to infinity (if their occurences are finite), but we do not know this (that was one of the main reasons, that I looked into experimental heuristics at all)
Dec 20, 2011 at 10:43	history	edited	Timothy Foo	CC BY-SA 3.0	correcting phrasing
Dec 20, 2011 at 9:37	history	edited	Timothy Foo	CC BY-SA 3.0	fixed math
Dec 20, 2011 at 9:26	history	edited	Timothy Foo	CC BY-SA 3.0	backticks
Dec 20, 2011 at 2:46	history	edited	Timothy Foo	CC BY-SA 3.0	fixed math
Dec 20, 2011 at 2:35	history	answered	Timothy Foo	CC BY-SA 3.0