Brocard's problem
Revision as of 18:15, 12 March 2020 by Science man 88 (talk | contribs)
Problem Statement
Given which pairs are the solutions to the given equation.
Known Solutions
Are the known solutions, and it was a conjecture of Paul Erdös, that these are the only solutions.
Heuristic arguments
- If then therefore
- If LHS is 1 mod so is likely mod making spread out as increases.
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