1019
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Number
$1019$ (one thousand and nineteen) is:
- The $171$st prime number
- The $8$th prime $p$ such that $p \# + 1$, where $p \#$ denotes primorial (product of all primes up to $p$) of $p$, is prime:
- $2$, $3$, $5$, $7$, $11$, $31$, $379$, $1019$
- The $20$th obstinate number after $1$, $127$, $149$, $251$, $331$, $337$, $373$, $509$, $599$, $701$, $757$, $757$, $809$, $877$, $905$, $907$, $959$, $977$, $997$
- The $26$th safe prime after $5$, $7$, $11$, $23$, $47$, $59$, $83$, $107$, $167$, $179$, $227$, $263$, $347$, $359$, $383$, $467$, $479$, $503$, $563$, $587$, $719$, $839$, $863$, $887$, $983$:
- $1019 = 2 \times 509 + 1$
- The smaller of the $36$th pair of twin primes:
- $1021 - 1019 = 2$
- The $39$th Sophie Germain prime after $2$, $3$, $5$, $11$, $23$, $29$, $41$, $\ldots$, $653$, $659$, $683$, $719$, $743$, $761$, $809$, $911$, $953$, $1013$:
- $2 \times 1019 + 1 = 2039$, which is prime.
Also see
- Previous ... Next: Sequence of Prime Primorial plus 1
- Previous ... Next: Twin Primes
- Previous ... Next: Safe Prime
- Previous ... Next: Obstinate Number
- Previous ... Next: Prime Number
- Previous ... Next: Sophie Germain Prime