Fun with Numbers: The PanPrimeDigit Cube Hypothesis

08062017, 09:48 PM
Post: #7




RE: Fun with Numbers: The PanPrimeDigit Cube Hypothesis
(08062017 09:47 AM)Gerald H Wrote: To avoid suspense: Horn's Conjecture is WRONG. ... I arrived at a heuristic proof. See my comments inserted above, inside [ square ] brackets. As mentioned in the original posting, a counterexample would suffice to disprove the conjecture. The above rationale explains why the conjecture is probably false, but it does not disprove it. FWIW, if the above were a valid proof, then it would also prove the existence of infinitely many perfect square repunits, since 1 itself is certainly one such. But there are no others. Therefore the "proof" is invalid. QED. <0ΙΈ0> Joe 

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