Three

Object 'Three' belongs to the 'Numbers' theme.

Connection to Zero:

Three can be written in terms of zero: 3=0^0+0^0+0^0 (using the fact that anything to the 0th power is 1).

Metrics
Parity Three: odd. Zero: even.

Connection to One:

3=1+1+1. Three is the next odd number after one.

Metrics
Parity Three: odd. One: odd.

Connection to Two:

Three and two are the only pair of primes which are right next to each other.

Metrics
Parity Three: odd. Two: even.

Connection to Four:

Four is the successor of three. The two numbers are relatively prime, so, together, linear combinations of them generate the whole set of integers. More uniquely, 4 and 3 are the first pair of relatively prime numbers (assuming pairs don't count when one of the numbers is 1).

Metrics
Parity Three: odd. Four: even.

Connection to Five:

3 and 5 make the earliest standard twin prime pair (2 and 3, or 2 and 5, are not standard twin prime pairs, since they are not distance 2 from each other).

x=3 is the maximal solution to the equation "5^x is x digits long". That is, 5^3 is 3 digits long, but 5^x is less than x digits long for every x>3.

Metrics
Parity Three: odd. Five: odd.

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