431

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Number

$431$ (four hundred and thirty-one) is:

The $83$rd prime number

The larger of the $7$th pair of primes whose prime gap is $10$:

$431 - 421 = 10$

The $23$rd Sophie Germain prime after $2$, $3$, $5$, $11$, $23$, $29$, $41$, $53$, $83$, $89$, $113$, $131$, $173$, $179$, $191$, $233$, $239$, $251$, $281$, $293$, $359$, $419$:

$2 \times 431 + 1 = 863$, which is prime.

The smaller of the $23$rd pair of twin primes:

$433 - 431 = 2$

Also see

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