How Euclid Proved An Infinite Number of Primes Just With Geometry

The physical representation of numbers can explain a lot.

[MrRyanroberson]

it's fascinating, really. i've heard the argument from a number theoretic perspective as the "classic proof" but never did i hear that this was done all in the context of lines, even though it is clearly just the line expression of this same concept.

[jdmac]

The greeks were absolute mad lads. I love them.

[apusapus]

To anyone interested, a shorter way of putting it:
Because the lowest divisor greater than 1 of n!+1 must be a prime number and must be greater than n...

[postmodernist]

It's basically a classical proof by multiplying an assumed finite number of primes and adding one to the result which results in a new prime, but done geometrically. Much trickier to figure out without algebra

[Jkauppa]

there is kinda same feeling in multiplying by identity and adding a logarithm of identity, both same operation, goal post does not move anywhere