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tommy1729_
Posts:
23
From:
belgium
Registered:
8/22/13


the truth about primes and triangular numbers !!
Posted:
Aug 23, 2013 4:20 PM


https://sites.google.com/site/tommy1729/primetwinsandprimeconstellationstommysconjecture
Tommy's conjecture
***
Let t(1)=1 , t(2)=3 and t(n) be the n'th triangular number.
Let all variables be integers >= 1.
Let ... mean that we do not care about that structure.
Use the OLD definition of primes that includes 1 as a prime then :
Between t(a)1 and t(a+1)+1 always exists at least 1 prime.
Between t(a)1 and t(a+3)+1 always exists at least 1 prime twin.
Between t(a)1 and t(a+2k+1)+1 always exists at least 1 prime constellation of the form(p,...,p+2k).
***
regards
tommy1729
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