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Prime 6-tuplets

Posted: 2021-02-23 16:39:26
by Pttn
Discussion about beating the prime 6-tuplet record. Let us know about your attempts, share your optimal settings, or ask for them.

Here is a guide to configure rieMiner in order to look for records.

Current record: 2^3700 + 33888977692820810260792517451 + d, d = 0, 4, 6, 10, 12, 16 (1114 digits, 3701 bits)
By Vidar Nakling on November 8 2021.
http://www.pzktupel.de/ktuplets

Good Luck!

Re: Prime 6-tuplets

Posted: 2021-12-04 13:12:54
by Pttn
I just noticed that someone beat the 5 year old record the last month.

2^3700 + 33888977692820810260792517451 + d, d = 0, 4, 6, 10, 12, 16 (1114 digits, 3701 bits)
By Vidar Nakling on November 8 2021.

Using a software called "Sixfinder" and "based on Riecoin miners"
The record was not easy to beat, I wonder if it includes interesting speedups to deserve a new name and if the code is available somewhere if so.
If rieMiner were credited, it would have been eligible for the Bounty (of currently 4046 RIC)...

Re: Prime 6-tuplets

Posted: 2021-12-09 08:30:40
by vidarn
The SixFinder program used to find the latest 6-tuplet record is based on one of the old Riecoin miners, version b14 written by dga back in 2014. I stripped out all the Riecoin and blockchain stuff and basically kept Dave Andersen's sieve as it was.

My version of the program was written in late 2014, and I have preferred to stay with that one rather than explore other variants. Over the years I have made minor changes and additions, one of them being an improved Fermat test which proved useful for numbers of the kind I am working with. (2^d + c where c is comparatively small.)

So, although I am quite impressed by the current Rieminer, it has not played any role in finding the record number.

The actual search was done on a Ryzen7 2700X and lasted two and a half calendar years, with about two years actual running time. Occasionally, I use the system for other purposes.

No, this program is presently not available in public anywhere, but I may consider a change to that.

regards,
Vidarn