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Saturday, June 8, 2013

Playing With Primes


               p = 6521953289619 × 2^55555  − 5


Triplets via Sunflwrr629/Wikipedia
Hmmm… Who knows what the significance of that number is?

It is (as of May 2013) the largest known first member of a prime triplet" [a grouping of 3 successive prime numbers with the smallest possible gaps between them: of the form (p, p + 2, p + 6) or (p, p + 4, p + 6)]

I thought with all the recent talk of twin primes, from Yitang Zhang's recent findings, it might be worth noting that mathematicians recognize other prime successions as well.

This leads, quite naturally, to yet another conjecture… that there are an infinite number of prime triplets. By the way, there are also prime quadruplets, and all of these sorts of categorizations are known as "prime constellations."



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