#realanalysis #realnumbers

#matrix

Is this... Loss?

#proof #induction

#geometry #physics

The number 121 is not a prime number, regardless of the number system or base we choose.

Proof: In base-b, 121 = 1b²+2b+1 = (b+1)(b+1), thus not prime.

Source

Oh, yes ... It's trivial.
#proof

If two closed loops are joined in a link, can they be pulled apart without tearing? In the 1800s, Carl Friedrich Gauss developed a precise mathematical test for determining when it’s possible.

#mathematicians #gauss #loops

This is the only pattern of its kind.

Proof:
Brute force?

Source

#arithmetics #power

#proof #induction