1019

Previous  ... Next

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