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Mathematics
General Math
Does this imply infinite twin primes?
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[QUOTE="andrewkirk, post: 5458533, member: 265790"] It is not clear that the LHS of the final equation continues to change sign, once the largest twin-prime T is surpassed. Can you prove that there exist ##m,n\geq T## such that ##p_n-f(p_n)## and ##p_m-f(p_m)## have different parity? If not, the argument from parity collapses. Also, it is unclear exactly what the twin-prime and twin composite counting functions do. Does f(10) count the pair (8,10) as one or as two? Does f(9) include both, one or neither of that pair? The same questions need to be answered for ##\pi_2##. [/QUOTE]
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Mathematics
General Math
Does this imply infinite twin primes?
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