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Saturday, August 12, 2017

Some number examples

For some reason really like when have examples with numbers in posts and some are actually my favorites and thought to collect a few linking back to post, in a post.

Like here is one:

(462 + 482 + 722)(1722 + 258+ 430+ 6022 + 17622) = 

            615+ 30752 + 141452 + 159902  + 1884972   =  774*210

Just like to stare at it for some reason.

Seem to like sums of lots of squares. Continuing, like here is two more sums of 5 squares to a square:

42 + 6+ 10+ 14862 = 882

and

862 + 129+ 215+ 301+ 8812 = 9682

And here went ahead and summed 7 to get a square:

349672 + 7522 + 1128+ 1880+ 26322 + 41362 + 48882 = 357212

Where am using BQD Iterator for all of these. But is mathematical tool I have which makes such things easy. Those are ones just from my own research.

An example from even earlier though, where rely on previous known result is here where was talking size of what I now call the unary form of the two conics equation:

60*2551100302 + 2551100292 = 19924730292

That is related to something, talk it here and for reference: 297182 - 61*38052 = -1

Liking that the easier solution, which is historically known so know from other sources and didn't figure it out myself, fits nicely there.

Putting in one place is useful to me for staring at them purposes.


James Harris
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