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The fact that there are infinitely many primes is one of the most f...
Let's first focus on the inequality  0<\prod_{p} \sin \left( ...
A One-Line Proof of the Inﬁnitude of Primes
Sam Northshield
May 2015
Proof. If the set of primes is ﬁnite, then
0 <
Y
p
sin
π
p
=
Y
p
sin
π · (1 + 2
Q
p
0
p
0
)
p
= 0
2
1