Friday, 12 February 2016

Gaps between Twin Primes

Today is a prime day for me, the prime being the larger half of the twin prime pair 24419 and 24421. Just as the gaps between primes are variable, so too are the gaps between successive twin primes. However, at certain points records are set regarding how big these gaps are. It just so happens that 24421 marks one of those points. The next prime pair is 24917 and 24919, and the gap of 496 between 24421 and 24917 sets a record. A list of the initial record intervals is attached.



24421 is a member of OEIS A036061: increasing gaps among twin primes, the largest prime of the starting twin pair. The record gaps between primes was treated in this earlier post.

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