409

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Number

$409$ (four hundred and nine) is:

The $80$th prime number


The $2$nd after $199$ of the smallest $10$ primes in arithmetic sequence:
$409 = 1 \times 210 + 199$


The larger of the $4$th pair of primes whose prime gap is $8$:
$409 - 401 = 8$


The smaller of the $6$th pair of primes whose prime gap is $10$:
$419 - 409 = 10$


The $10$th minimal prime base $10$ after $2$, $3$, $5$, $7$, $11$, $19$, $41$, $61$, $89$


Also see