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 2006-01-11, 16:11 #1 Greenbank     Jul 2005 6028 Posts Project Definition *** Definition (by Dougy) For natural numbers k,n, with k < 2^n, if the following are all primes: k*2^n+1 k*2^n-1 k*2^(n+1)+1 k*2^(n+1)-1 2^n+k 2^n-k 2^(n+1)+k 2^(n+1)-k then k*2^n+1 is called an octoproth. It can be shown that if k*2^n+1 is an octoproth then k = 15 (mod 30) and if n != 1 (mod 3) then k = 105 mod 210 Last fiddled with by Greenbank on 2006-01-11 at 16:43
2006-01-11, 16:42   #2
fetofs

Aug 2005
Brazil

2×181 Posts

Quote:
 Originally Posted by Greenbank *** Definition (by Dougy?)
The wording is Dougy's, I think.

 2006-01-12, 23:24 #3 Kosmaj     Nov 2003 2·1,811 Posts You missed the most important information, namely that Octoproths were proposed by Robert Smith here.
 2006-01-13, 17:09 #4 robert44444uk     Jun 2003 Oxford, UK 11·173 Posts The original source If we are being pernickety, the concept was first mooted by me on Yahoo on Jan 26th 2004 when I called them "combo chains" http://groups.yahoo.com/group/primen...6?viscount=100 Actually, I am sure others may well have thought about this before, and just never got it written down on the internet. But I certainly never got any response saying that the numbers had been researched previously. Regards Robert Smith
 2007-12-07, 18:41 #5 henryzz Just call me Henry     "David" Sep 2007 Cambridge (GMT/BST) 5,743 Posts does octo 6.0 follow the k<2^n limit

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