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Donald | 1 year ago

45^2 = 2025

Happy perfect square year, everyone. The previous one was 1936 and the next one will be 2116.

discuss

order

umeshunni|1 year ago

2025:

1) is a square: 45²

2) is the product of two squares: 9² x 5²

3) is the sum of 3-squares: 40²+ 20²+5²

4) is the sum of cubes of all the single digits: 1³+2³+3³+4³+5³+6³+7³+8³+9³

_kb|1 year ago

5) sum of the single digits squared: (1+2+3+4+5+6+7+8+9)²

MattSayar|1 year ago

How do people find these kinds of things out without idly brute forcing things?

lxgr|1 year ago

Also, (20 + 25)^2 = 2,025! Happy New Year :)

Bootvis|1 year ago

Python:

    [x**2 for x in range(32,100) if x**2 // 100 + x**2 % 100 == x]
    [2025, 3025, 9801]

User23|1 year ago

This decomposition is especially fun!

devsda|1 year ago

Great to know that someone else too keeps track of squares.

At the ages of perfect squares is when we all cross or achieve significant milestones in our lives as children, students, (young)adults, spouses, parents, grandparents, senior citizens of society and so on.

This year being a perfect square, I wish that it will be as much or more special as it was for everyone at those ages.

gylterud|1 year ago

My youngest is fascinated by squares at the moment. Luckily for him, he is 4 years old, his older brother is 9, while I just turned 36. He will be delighted when I tell him that we are entering 45 squared!

jthemenace|1 year ago

This is the most Hacker News comment I’ve seen today. Well played.

edoceo|1 year ago

Up there with Putnam and Dropbox.

abixb|1 year ago

Totally nothing bad happened in the decade following the last perfect square year in 1936. :')

anon_cow1111|1 year ago

Well things have already been a tad rough around this square, so if we follow the trend, the next square might turn bad even sooner. So maybe around, I dunno, 2101?

frereubu|1 year ago

Unless something equivalent happened in 1849, 1764, 1691... I think we're OK :)

keepamovin|1 year ago

2025 = 515 (palindromic in base 20)

eddyg|1 year ago

And

    (20+25)^(20/(2*5))
as well.

jostylr|1 year ago

US President number 45 returns, kind of seems like squaring applies.

jll29|1 year ago

Donald = Donald E. Knuth? ;-)

joseangel_sc|1 year ago

here’s to all be alive and well floating in amniotic liquid living in VR paradise