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Utopia Talk / General Talk / Pi!
McKobb
Member
Sat Nov 17 03:14:57
Yup
tumbleweed
the wanderer
Tue Nov 20 00:50:07
Fifty is the smallest number that is the sum of two non-zero square numbers in two distinct ways: 50 = 12 + 72 = 52 + 52. It is also the sum of three squares, 50 = 32 + 42 + 52, and the sum of four squares, 50 = 62 + 32 + 22 + 12. It is a Harshad number.

There is no solution to the equation φ(x) = 50, making 50 a nontotient. Nor is there a solution to the equation x − φ(x) = 50, making 50 a noncototient.
tumbleweed
the wanderer
Tue Nov 20 00:51:32
...some of those 2's are exponents
Cherub Cow
Member
Tue Nov 20 00:57:57
"...some of those 2's are exponents"

Oh, good! I was seriously confused and wondering if I was looking at some upper-level math where normal rules do not apply :D

-=-=- Fixing:
50 = 1² + 7² = 5² + 5². It is also the sum of three squares, 50 = 3² + 4² + 5², and the sum of four squares, 50 = 6² + 3² + 2² + 1².
McKobb
Member
Tue Nov 20 01:34:28
At first I thought your talk of nontotients was just odd!
tumbleweed
the wanderer
Tue Nov 20 11:41:01
nontotients are a good Thanksgiving topic to avoid politics

or how there's a tremendous amount of seemingly pointless math
McKobb
Member
Tue Nov 20 16:11:36
Maths are for childfen!
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