15,877
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Number
$15 \, 877$ (fifteen thousand, eight hundred and seventy-seven) is:
- The $1849$th prime number
- The $18$th prime $p$ such that $p \# - 1$, where $p \#$ denotes primorial (product of all primes up to $p$) of $p$, is prime:
- $3$, $5$, $11$, $13$, $41$, $89$, $317$, $337$, $991$, $1873$, $2053$, $2377$, $4093$, $4297$, $4583$, $6569$, $13 \, 033$, $15 \, 877$
Also see
Historical Note
The number $15 \, 877 \# - 1$ was demonstrated to be prime by Chris K. Caldwell in $1995$.
Sources
- 1995: Chris K. Caldwell: On the Primality of $n! \pm 1$ and $2 \cdot 3 \cdot 5 \cdots p \pm 1$ (Math. Comp. Vol. 64: pp. 889 – 890) www.jstor.org/stable/2153458
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $15,877 \# - 1$