509,033,161
Jump to navigation
Jump to search
Number
$509 \, 033 \, 161$ is:
- $7 \times 13 \times 19 \times 37 \times 73 \times 109$
- The $472$nd Carmichael number, and one which is the product of $2$ Carmichael numbers:
- $\forall a \in \Z: a \perp 509 \, 033 \, 161: a^{509 \, 033 \, 160} \equiv 1 \pmod {509 \, 033 \, 161}$
- $509 \, 033 \, 161 = 1729 \times 294 \, 409$:
- $\forall a \in \Z: a \perp 1729: a^{1728} \equiv 1 \pmod {1729}$
- $\forall a \in \Z: a \perp 294 \, 409: a^{294 \, 408} \equiv 1 \pmod {294 \, 409}$
Work In Progress In particular: Work out whether it is the first such product, and if not, establish the list of those It is the first such product, see OEIS: A207041 You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by completing it. To discuss this page in more detail, feel free to use the talk page. When this work has been completed, you may remove this instance of {{WIP}} from the code. |
Also see
Sources
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $509,033,161$