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Tyler Ross, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL27/Ross/ross3.html">A Perfect Number Generalization and Some Euclid-Euler Type Results</a>, Journal of Integer Sequences, Vol. 27 (2024), Article 24.7.5. See p. 10.
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There exist infinitely many terms m such that 2*m+1 is also a term. An example of such a term is given by m = 1794034002010052015087494897751274857875985571808130707987847768908867571007187
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There exist infinitely many terms m such that 2*m+1 is also a term. An example of such a term is given by m = 2970461716671401076599496434094339820184155696343481615007763926638583667753360431002667488823171794034002010052015087494897751274857875. - Max Alekseyev, Nov 16 2023
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