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BiTwin records for 2, 3, 4, 5, 6 links

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• A BiTwin with n links is n+1 twin primes k*2^m+/-1 for n+1 consecutive m values: http://ourworld.compuserve.com/homepages/hlifchitz/Henri/us/NouvChPus.htm The
Message 1 of 1 , Apr 27, 2004
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A BiTwin with n links is n+1 twin primes k*2^m+/-1 for n+1 consecutive m values:
http://ourworld.compuserve.com/homepages/hlifchitz/Henri/us/NouvChPus.htm

The BiTwin records are here:
http://ourworld.compuserve.com/homepages/hlifchitz/Henri/fr-us/BiTwinRec.htm

I have adapted my tuplet sieve to search BiTwins.
The person running the program is listed below.

2 links, 310 digits, Torbjörn Alm:
(617210015*727#+111711600)*2^m+/-1, m = 0..2

3 links, 142 digits, Torbjörn Alm:
(1406742484*331#+127729962360)*2^m+/-1, m = 0..3

4 links, 71 digits, Jens K. Andersen:
(6711674*163#+2014053991950)*2^m+/-1, m = 0..4

5 links, 44 digits, Jens K. Andersen:
(4691553*97#+704765232261090)*2^m+/-1, m = 0..5

6 links, 29 digits, Torbjörn Alm:
227339007428723056795583*13#*2^m+/-1, m = 1..7

The GMP library was used for prp testing in all cases.
Marcel Martin's Primo proved all primes for 2 and 3 links.
Tony Forbes' VFYPR proved for 4, 5 and 6 links.

--
Jens Kruse Andersen
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