24,029

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Number

$24 \, 029$ (twenty-four thousand and twenty-nine) is:

The $2673$rd 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:

$2$, $3$, $5$, $7$, $11$, $31$, $379$, $1019$, $1021$, $2657$, $3229$, $4547$, $4787$, $11 \, 549$, $13 \, 649$, $18 \, 523$, $23 \, 801$, $24 \, 029$

Also see

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Historical Note

The number $24 \, 029 \# - 1$ 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): $24,029 \# + 1$