Sequence of Odd Abundant Numbers without 5 as Factor

Sequence

The sequence of odd abundant numbers which do not have $5$ as a factor begins:

$81 \, 081, 153 \, 153, 171 \, 171, 189 \, 189, 207 \, 207, 223 \, 839, \ldots$

This sequence is A064001 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).

Proof

This theorem requires a proof. In particular: Needs to be demonstrated that there are no others You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by crafting such a proof. 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 {{ProofWanted}} from the code. If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page.

Sources

• 1966: Joseph S. Madachy: Mathematics on Vacation

• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $81,081$