 | myfile.> DON05.. .Pgms.Prime.PrimeDates.SquareDate.2025
-date: Thur 20.01.05 23:05 SENT.
Dear news, ...rec.puzzles,nz.general,alt.math
Some unusual mathematical dates spring on ..Feb. 05.
Some unusual mathematical dates spring on
New Zealand next month, February 2005.
The following approaching dates can be expressed as
Squares, cubes, triangles, and/or 4th powers.
>From my research, only 2 days of the year (dd.m.xxx..),
do not occur as a square date ending in '25,
within the first million years.
Can you find them?**********PUZZLE.
Examples.
1.2.5 = cube, 5^3.
1.2.25 = 35^2. square.
2.2.5 = 15^2 squares.
2.02.5 = 45^2 squares.
3.02.5 = 55^2 squares.
3.2.5 = triangle, 25*26/2.
4.2.25 = 65^2
6.2.5 = 25^2 = 5^4. squares.
7.2.25 = 85^2 squares.
7.02.25 = 265^2 squares.
squares.
9.02.5 = 95^2 squares.
11.02.5 = 105^2 squares.
12.2.5 = Christmas, 35^2 squares.
squares.
21.02.5 = 145^2. squares.
There are so many that you can list as many
as possible and find the gaps.
But the squares of integers, 1- 1000,
range from 1 to 1 million. So squares may
be rarer than the prime numbers.
Somebody, (compare Bertrand Postulate on prime gaps,)
said there is always at least one prime (??)
between adjacent squares. 'A prime between n^2,(n+1)^2?'
/ Donald S. McDonald (PG. 332 Wellington, New Zealand)
groups.google.com search don.lotto nz
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