20060111, 16:11  #1 
Jul 2005
2·193 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^n1 k*2^(n+1)+1 k*2^(n+1)1 2^n+k 2^nk 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 20060111 at 16:43 
20060111, 16:42  #2  
Aug 2005
Brazil
2·181 Posts 
Quote:


20060113, 17:09  #4 
Jun 2003
Oxford, UK
3·5^{4} 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 
20071207, 18:41  #5 
Just call me Henry
"David"
Sep 2007
Cambridge (GMT)
3^{2}·17·37 Posts 
does octo 6.0 follow the k<2^n limit

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