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Tony Huynh
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Is the set $S:=\{n\mid n\in\mathbb{N}\text{ and Are there an infinite number of integers $n$ such that $n, $n+1$n+1$, and $n+2$ have the same number of divisors}\}$ infinite?

Is the set $S:=\{n\mid n\in\mathbb{N}\text{ and $n$, $n+1$ and $n+2$ have the same number of divisors}\}$$S:=\{n\in\mathbb{N} \mid \text{$n$, $n+1$ and $n+2$ have the same number of divisors}\}$ infinite?

Example: $33\in S$.

Is the set $S:=\{n\mid n\in\mathbb{N}\text{ and $n$, $n+1$ and $n+2$ have the same number of divisors}\}$ infinite?

Is the set $S:=\{n\mid n\in\mathbb{N}\text{ and $n$, $n+1$ and $n+2$ have the same number of divisors}\}$ infinite?

Example: $33\in S$.

Are there an infinite number of integers $n$ such that $n, n+1$, and $n+2$ have the same number of divisors?

Is the set $S:=\{n\in\mathbb{N} \mid \text{$n$, $n+1$ and $n+2$ have the same number of divisors}\}$ infinite?

Example: $33\in S$.

Is the number of sets of (N1, N2, N3) finite, where N1, N2set $S:=\{n\mid n\in\mathbb{N}\text{ and $n$, N3 are three consecutive positive integers$n+1$ and having equal$n+2$ have the same number of divisors}\}$ infinite?

N1, N2, and N3 are three consecutive positive integers such that the number of divisors of N1, N2, and N3 are equal. Is the number of sets ofset (N1,N2,N3) finite$S:=\{n\mid n\in\mathbb{N}\text{ and $n$, $n+1$ and $n+2$ have the same number of divisors}\}$ infinite?

For exampleExample:(33,34,35) $33\in S$.

Is the number of sets of (N1, N2, N3) finite, where N1, N2, N3 are three consecutive positive integers and having equal number of divisors?

N1, N2, and N3 are three consecutive positive integers such that the number of divisors of N1, N2, and N3 are equal. Is the number of sets of (N1,N2,N3) finite?

For example:(33,34,35)

Is the set $S:=\{n\mid n\in\mathbb{N}\text{ and $n$, $n+1$ and $n+2$ have the same number of divisors}\}$ infinite?

Is the set $S:=\{n\mid n\in\mathbb{N}\text{ and $n$, $n+1$ and $n+2$ have the same number of divisors}\}$ infinite?

Example: $33\in S$.

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Is the number of sets of (N1, N2, N3) finite, where N1, N2, N3 are threthree consecutive positive integers and having equal number of divisors?

N1, N2, and N3 are three consecutive positive integers such that the number of divisors of N1, N2, and N3 are equal. Is the number of sets of (N1,N2,N3) finite?

For example:(33,34,35)

Is the number of sets of (N1, N2, N3) finite, where N1, N2, N3 are thre consecutive positive integers?

N1, N2, and N3 are three consecutive positive integers such that the number of divisors of N1, N2, and N3 are equal. Is the number of sets of (N1,N2,N3) finite?

Is the number of sets of (N1, N2, N3) finite, where N1, N2, N3 are three consecutive positive integers and having equal number of divisors?

N1, N2, and N3 are three consecutive positive integers such that the number of divisors of N1, N2, and N3 are equal. Is the number of sets of (N1,N2,N3) finite?

For example:(33,34,35)

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