21 May
2016
21 May
'16
11:10 p.m.
PS Chai Wah Wu sent me the following proof that there is always a square that begins with n. Let d be very large, and let m^2 be the largest square less than n*10^d. Then (m+1)^2 begins with n. Best regards Neil Neil J. A. Sloane, President, OEIS Foundation. 11 South Adelaide Avenue, Highland Park, NJ 08904, USA. Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ. Phone: 732 828 6098; home page: http://NeilSloane.com Email: njasloane@gmail.com On Sat, May 21, 2016 at 8:45 PM, Neil Sloane <njasloane@gmail.com> wrote:
Given n, A018851 and A018796 give the smallest square that begins with n
Question: does such a square always exist, and if so how big can the smallest example be?