Saturday, 12 September 2026 10:41 pm
Perfect Numbers
A so-called perfect number is an integer and sum
Of all its proper factors. If that phrase makes you feel dumb,
Consider six, divisible by one and two and three.
You add them all together and it’s six again, whoopee!
The current count of perfect numbers stands at fifty-two,
The last of which has more than eighty million digits. Whew!
The perfect numbers’ total might be infinitely high.
We haven’t found an odd one yet, and there’s a reason why:
The ones we know are based upon Mersenne primes, which consist
Of pow’rs of two subtracting one (composites are dismissed).
Mersenne primes times the pow’r of two immediately prior
Have all made perfect numbers; that’s a pattern to admire.
Of all its proper factors. If that phrase makes you feel dumb,
Consider six, divisible by one and two and three.
You add them all together and it’s six again, whoopee!
The current count of perfect numbers stands at fifty-two,
The last of which has more than eighty million digits. Whew!
The perfect numbers’ total might be infinitely high.
We haven’t found an odd one yet, and there’s a reason why:
The ones we know are based upon Mersenne primes, which consist
Of pow’rs of two subtracting one (composites are dismissed).
Mersenne primes times the pow’r of two immediately prior
Have all made perfect numbers; that’s a pattern to admire.