Every number is interesting. Suppose there were uninteresting numbers. Then there would be a smallest one. But this is an interesting property, contradicting the supposition. By reductio ad absurdum, there are none!
A Ton of Wonders
The number familiarly known as a ton
Comprises two zeros appended to one.
It holds, in its five score of units, great store
Of marvel and mystery and magic and more.
Take 1, 2, 3, 4; add them up to make 10.
Then square to one, zero and zero again.
Now square 1, square 7 and double the deuce;
The four squares together one hundred produce.
Pythagoras knew, with sides 6, 8 and 10,
A trigon would have a right angle and then,
The squares of the 6 and the 8 being paired,
Make a century for the hypotenuse squared.
The cubes of the first four whole numbers combine
To total one hundred, and not ninety-nine.
With Goldbach to guide us, a century splits
as a sum of two primes, with a half-dozen fits.
The nine smallest primes up to twenty-and-three
Will sum to precisely a ton, you’ll agree.
Now add all odd numbers from 1 to 19:
A sum of a centum again will be seen.
A number is ‘Leyland’ if m to the n
Plus n to the m gives the number again.
One hundred is such, as we easily shew,
When m equals 6, and n equals 2.
One hundred is thrice thirty-three-and-a-third
With many more forms that are much more absurd:
Take a ton from its square: then the iterate root
Brings you back to one hundred without any doubt.
A ton can be made from irrationals too
And even the powers of transcendents will do:
One hundred is e plus the fourth power of π
(albeit this estimate’s slightly too high).
And what of partitions? Of sums there are more
than one-ninety million to make up five score.
This number produces, when broken asunder,
A cornucopia of wealth and of wonder.