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The largest known perfect number is \(M_{49}(\frac{M_{49}+1}{2}) \approx 4.51 \cdot 10^{44,677,234}\), where \(M_{49}\) is the largest known Mersenne prime.

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  • Largest known perfect number
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  • The largest known perfect number is \(M_{49}(\frac{M_{49}+1}{2}) \approx 4.51 \cdot 10^{44,677,234}\), where \(M_{49}\) is the largest known Mersenne prime.
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abstract
  • The largest known perfect number is \(M_{49}(\frac{M_{49}+1}{2}) \approx 4.51 \cdot 10^{44,677,234}\), where \(M_{49}\) is the largest known Mersenne prime.
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