I never meant for it to happen. It violates all intentions of this blog to generalize a theorem. So I’d like to blame Ernie Croot for the suggestion;

Let be any (unordered) set of integers. Let be the least common multiple of and , where for all . Then necessarily happens infinitely often in exactly cases: there either exists an odd prime for which for all , or all the are even. And it’s not even necessary to start the sum at .

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October 16, 2013 at 21:02 |

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