383

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Number

$383$ (three hundred and eighty-three) is:

The $76$th prime number

The $6$th Woodall number after $1$, $7$, $23$, $63$, $159$, and $3$rd Woodall prime after $7$, $23$:

$383 = 6 \times 2^6 - 1$

The $7$th Thabit number after $(2)$, $5$, $11$, $23$, $47$, $95$, $191$:

$383 = 3 \times 2^7 - 1$

The $7$th Thabit prime after $2$, $5$, $11$, $23$, $47$, $191$:

$383 = 3 \times 2^7 - 1$

The $14$th palindromic prime:

$2$, $3$, $5$, $7$, $11$, $101$, $131$, $151$, $181$, $191$, $313$, $353$, $373$, $383$, $\ldots$

The $15$th safe prime after $5$, $7$, $11$, $23$, $47$, $59$, $83$, $107$, $167$, $179$, $227$, $263$, $347$, $359$:

$383 = 2 \times 191 + 1$

The $20$th near-repdigit prime after $101$, $113$, $131$, $151$, $181$, $191$, $199$, $211$, $223$, $227$, $229$, $233$, $277$, $311$, $313$, $331$, $337$, $353$, $373$

The $20$th inconsummate number after $62$, $63$, $65$, $75$, $84$, $95$, $161$, $173$, $195$, $216$, $261$, $266$, $272$, $276$, $326$, $371$, $372$, $377$, $381$:

$\nexists n \in \Z_{>0}: n = 383 \times \map {s_{10} } n$

The $28$th long period prime after $7$, $17$, $19$, $23$, $29$, $\ldots$, $181$, $193$, $223$, $229$, $233$, $257$, $263$, $269$, $313$, $337$, $367$, $379$

The $30$th left-truncatable prime after $2$, $3$, $5$, $7$, $\ldots$, $197$, $223$, $283$, $313$, $317$, $337$, $347$, $353$, $367$, $373$