The largest known perfect number is \(M_{51?}(\frac{M_{51?}+1}{2}) \approx 1.108478 \cdot 10^{49,724,094}\), where \(M_{51?}\) is \(2^{82,589,933} − 1\), the largest known Mersenne prime, which is suspected to be the 51st Mersenne prime.[1][2]


  1. C. Caldwell, The Largest Known Primes. Accessed 2021-06-02.
  2. C. Caldwell, Characterizing all even perfect numbers. Accessed 2021-06-02.
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