- Aug 1, 2012Conjecture:

This polynomial expression is always zero for all triplets of consecutive prime numbers greater than 23.

Product[k Prime[n+1]+(m-k)*Prime[n-1]-m Prime[n],

{m,2,Log[n]^(5-Pi)},{k,1,m-1}]=0

It isinteresting to note that the order of complexity of this expression is less than

log[n] ^ 4 and hence is a expression with polynomial complexity.

Sincerely

Sebastian Martin Ruiz

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