Talk:Sequence of Dudeney Numbers/Historical Note

This one is interesting.

The article The "Number of Mathematics", JRM Vol. 25(4), p.247-251, 1993 is written by Monte J. Zerger. In it he listed many interesting properties of the number $17$.

He states $17$ is the only prime which is equal to the sum of the digits of its cube, and lists all the other numbers.

He references J. Roberts' Lure of the Integers, p.172. (also referenced in OEIS)

In that book, J. Roberts referenced the article Powers of Sums of Digits, Math. Mag. 52 (1979) 310-12 by S. P. Mohanty and H. Kumar.

He also says, "Mohanty and Kumar state that this was reported by Moret Blanc in 1879. Similar results are given for all powers from 2 to 10."

So I guess it came full circle. --RandomUndergrad (talk) 08:50, 10 July 2020 (UTC)


 * Okay I'll explain those details and create the citations in due course. --prime mover (talk) 10:21, 10 July 2020 (UTC)


 * That was harder work than I thought it would be. Surprising how often it crops up. Probably not worth mentioning every instance of its appearance in the historical notes, as long as we have all the citations listed on the actual page.
 * It's not particularly profound, but it is widely discussed, so it's as well we have it here. --prime mover (talk) 18:58, 10 July 2020 (UTC)