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Old 2019-03-07, 21:37   #9
robert44444uk
 
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Jun 2003
Oxford, UK

2·3·313 Posts
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I will have to read Dr S's post in the morning - wine is no help.

I'm a bit worried that I can't find literature on prime gaps mod3. Google isn't what it used to be. There appears to be bits 'n pieces of lit around gaps mod6, given that these are noticeably spiky on graphs of gap frequency over a given range.

A couple of statements I have read seem to suggest that the numbers of 0mod3 gaps is equal to 50% of gaps - but the evidence over the first 100000 gaps suggested 41.9% - this is surely far too large a difference for 50% to be the long run average.
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