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Fixed typo in basic example
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sahasatvik committed Mar 28, 2023
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8 changes: 4 additions & 4 deletions README.md
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Expand Up @@ -44,11 +44,11 @@ Minimal example below; also see [example.typ](example.typ) for a demonstration o
There are infinitely many primes.
]
#proof[
Suppose to the contrary that $p_1, p_2, dots p_n$ is a finite enumeration
Suppose to the contrary that $p_1, p_2, dots, p_n$ is a finite enumeration
of all primes. Set $P = p_1 p_2 dots p_n$. Since $P + 1$ is not in our list,
it cannot be prime. Thus, some prime factor $p_j$ divides $P + 1$.
Since $p_j$ also divides $P$, it must divide the difference $(P + 1) - P =
1$, a contradiction.
it cannot be prime. Thus, some prime factor $p_j$ divides $P + 1$. Since
$p_j$ also divides $P$, it must divide the difference $(P + 1) - P = 1$, a
contradiction.
]
#corollary[There is no largest prime number.]
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10 changes: 5 additions & 5 deletions basic.typ
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Expand Up @@ -36,11 +36,11 @@
There are infinitely many primes.
]
#proof[
Suppose to the contrary that $p_1, p_2, dots p_n$ is a finite enumeration of
all primes. Set $P = p_1 p_2 dots p_n$. Since $P + 1$ is not in
our list, it cannot be prime. Thus, some prime factor $p_j$ divides $P + 1$.
Since $p_j$ also divides $P$, it must divide the difference $(P + 1) - P =
1$, a contradiction.
Suppose to the contrary that $p_1, p_2, dots, p_n$ is a finite enumeration
of all primes. Set $P = p_1 p_2 dots p_n$. Since $P + 1$ is not in our list,
it cannot be prime. Thus, some prime factor $p_j$ divides $P + 1$. Since
$p_j$ also divides $P$, it must divide the difference $(P + 1) - P = 1$, a
contradiction.
]

#corollary[
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