461

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Number

$461$ (four hundred and sixty-one) is:

The $89$th prime number

The $5$th integer after $2$, $5$, $17$, $41$ at which the prime number race between primes of the form $4 n + 1$ and $4 n - 1$ are tied.

The smaller of the $24$th pair of twin primes:

$463 - 461 = 2$

The $32$nd long period prime after $7$, $17$, $19$, $23$, $29$, $\ldots$, $269$, $313$, $337$, $367$, $379$, $383$, $389$, $419$, $433$

Also see

• Previous  ... Next: Prime Number Race between 4n+1 and 4n-1

• Previous  ... Next: Twin Primes
• Previous  ... Next: Long Period Prime

• Previous  ... Next: Prime Number

Sources

• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $461$