Talk:74,162

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In JRM, 16:1, p. 59, Q1272 of 'Problems and Conjectures', Michel Criton of Cheroy, France asks for a square with the form

$a_1 a_1 a_2 a_2 \dots a_n a_n$

stating $88^2 = 7744$ as an example.

He also asks whether there are infinite number of such numbers.


In JRM, 17:1, p.70, Brian Barwell of Hapton, Middlesex, England gives the solution $74162$.

Friend H. Kierstead, Jr. states that there are no more solutions under $10^8$, conjecturing that there are only a finite number of them.


P. 84 is about Tic-Tac-Toe. --RandomUndergrad (talk) 06:48, 10 July 2020 (UTC)

What dates did these issues come out? Year at least, year and month if known. Thanks --prime mover (talk) 07:33, 10 July 2020 (UTC)
It's 1983 and 1984 for the numbers (1), but 1983-1984 and 1984-1985 for the whole volumes.
The name of the problem is "Squares With Repeated Digits". --RandomUndergrad (talk) 08:14, 10 July 2020 (UTC)