Talk:Singmaster's conjecture

[Untitled]

There's an error in one of the binomial coefficients listed for 7140:

   {7140 \choose 1} = {239 \choose 2} = {36 \choose 3}

239 is an error because 239*238/2 = 28441, not 7140.

The correct value for this binomial coefficient is

{120 \choose 2}

120*119/2 = 7140.

Jeff Caveney —Preceding unsigned comment added by 75.2.245.250 (talk) 18:33, 23 November 2007 (UTC)[reply]

3003

In 1995, 3003 was the only known number appearing 8 times [1]. Is this still the case? DRLB (talk) 22:17, 29 January 2008 (UTC)[reply]

Perhaps David Singmaster knows the answer to that one; you could ask him. Michael Hardy (talk) 23:00, 29 January 2008 (UTC)[reply]

More updated information appears at http://mathworld.wolfram.com/PascalsTriangle.html — Preceding unsigned comment added by 128.122.80.21 (talk) 22:49, 30 August 2011 (UTC)[reply]

First appearance of the term?

I conjecture that Rodica Simion's Ph.D. thesis in 1981 was the first occurrence in print of the term that is the title of this article. I find it in a 1989 paper written by others, but there it refers to something else—a conjecture on permutations. Michael Hardy (talk) 12:34, 14 May 2009 (UTC)[reply]

61218182743304701891431482520

In the article, it states that the next number to appear at least six times is 61218182743304701891431482520. Is there a proof of this somewhere? There is a reference number tagged to it, but I looked at the link and didn't see anything about 61218182743304701891431482520. If you know of a proof, please link me. To be clear, how do we know there isn't a number between 24310 and 61218182743304701891431482520 that doesn't appear at least six times? Is there a proof, or was it computation of each number in between? Jeanlovecomputers (talk) 22:39, 26 October 2024 (UTC)[reply]