perplexus.info :: Just Math : 2005 a square? Baseless!

2005 a square? Baseless! (Posted on 2005-05-30)

2005 base 10 is not a square. Neither is 2005 base 7 a square (equal 2*7^3+5=691). Is there any base b such that 2005 base b is a square?

See The Solution Submitted by McWorter

Rating: 3.6000 (5 votes)

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Subject	Author	Date
Puzzle Solution	K Sengupta	2023-09-11 07:49:22
re: Since it was not tacitily stated...	McWorter	2005-06-04 23:53:17
Since it was not tacitily stated...	pcbouhid	2005-06-04 23:16:40
Modulo solution	Nick Hobson	2005-06-01 20:10:16
re(2): Solution	Robby Goetschalckx	2005-06-01 07:52:01
A Modulus Based Solution !?!	brianjn	2005-06-01 07:30:34
re(3): Solution	pcbouhid	2005-06-01 00:35:35
re(3): Solution	pcbouhid	2005-06-01 00:32:00
re(2): Solution	Bruno	2005-05-31 23:31:09
re: Solution	pcbouhid	2005-05-31 19:35:47
re: Possibly?	McWorter	2005-05-31 17:32:27
Solution	Robby Goetschalckx	2005-05-31 09:01:23
Possibly?	Michael S. McCracken	2005-05-31 04:38:22
radical solution	Larry	2005-05-31 00:12:53
re(3): when the base is odd...	Richard	2005-05-30 23:37:47
re(2): when the base is odd...	pcbouhid	2005-05-30 22:14:18
re: when the base is odd...	Richard	2005-05-30 22:05:55
when the base is odd...	pcbouhid	2005-05-30 20:10:36

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