2025 is mathematically fascinating
Some interesting mathematical facts of the year, that we are approaching, 2025:
1: 2025, itself is a square, viz. 452 = 2025
2: It’s a product of two squares, viz. 9² x 5² = 2025
3: It’s the sum of three squares, viz. 40²+ 20²+5² = 2025
4: It’s the sum of cubes, of all the single digits, from 1 to 9 = viz. 1³+2³+……9³ = 2025.
Much of the magic comes because of the presence of number 9. Remember also Kaprekar’s constant 6174. https://en.wikipedia.org/wiki/6174
it’s really Great. Hope our Godhood and love to the Almughy and Nation and world be in such multiple squares and cubes
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Namaskar
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Yet the Divine managed to create the zero, cypher, shunya, void, nothingness, this for the creative delight of becoming many; He emptied himself out so that he could manifest, (many-fest). He was alone and He called his creative Force to do it.
The Absolute, the Perfect, the Alone
Has called out of the Silence his mute Force
Where she lay in the featureless and formless hush
Guarding from Time by her immobile sleep
The ineffable puissance of his solitude. ||15.7|| …
Savitri Book One Canto Four
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A comment has come which says that, after
1936 = 11x11x4x4 = 44×44
we have
2025 = 9x9x5x5 = 45×45.
So the next will be
2116 = 23x23x2x2 = 46×46
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Vivek Datar writes:
Points 1, 2 and 4 are related. I can show that
S_3 (n) = 1^3+2^3+…..+n^3 = [S_1(n)]^2
where S_1(n) is the sum of integers from 1 to n (=n[n+1]/2], S_2(n) is the sum of squares of integers upto n, which incidentally is n(n+1)(2n+1)/6, and S_3(n) is sum the of cubes of integers upto n.
So S_3(9)=[9×10/2]^2
=9^2 × 5^2
=45^2=(40+5)^2
=40^2+10×40+5^2
=40^2+20^2+5^2
=2025
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