Thread: Repeating gaps
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Old 2021-07-20, 10:40   #1
robert44444uk
 
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Jun 2003
Oxford, UK

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Default Repeating gaps

With the group's current computing resources it should be possible to take the following sequence and extend it

https://oeis.org/A052187

So 47,53,59 is the first sequence of primes with a repeated gap of 6. Repeated gaps are all 0mod6. This is easy to prove.

The highest known members of the sequence are 46186474937633 46186474937957 46186474938281, differing by 324. However no repeating gap of 318 is know below 5e13 according to Johnson and Resta.

I might have a look at 5e13 to 6e13
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