Sum of 5 Unit Fractions that equals 1

Theorem

There are $147$ ways to represent $1$ as the sum of exactly $5$ unit fractions.


Proof


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Historical Note

According to 1997: David Wells: Curious and Interesting Numbers (2nd ed.), this result is attributed to David Breyer Singmaster.


Sources

  • 1994: Richard K. Guy: Unsolved Problems in Number Theory (2nd ed.)
  • 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $14$
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