Almost every integer is sum of distinct perfect squares #NumberTheory #AdditiveNumberTheory #SumOfSquares #PerfectSquare #IMOShortlist

The B1G mat setup: 2x2 >>>>>>>>4x1 #PerfectSquare

Prove that 111...11222...225 is a perfect square #Induction #PerfectSquare

IMO Shortlist 2009 - Problem N7 #NumberTheory #PerfectSquare #IMOShortlist #Exponential

2^n a b being always a square #ModularArithmetic #Function #NumberTheory #PerfectSquare

As 2025 draws to a close on this December 30th, let's take a moment to appreciate the hidden mathematical beauty of the number that defined our year! 2025 isn't just a year — it's loaded with elegant properties that make it a favorite among number lovers. • It's a perfect square: 2025 = 45² (Quick check: 40² = 1600, 5² = 25, and 2×40×5 = 400 → 1600 400 25 = 2025) • Prime factorization: 2025 = 3⁴ × 5² = 81 × 25 Notice how the factors use the digits 2, 0, 2, 5 in a neat rearrangement? The exponents and bases playfully echo the digits themselves. • Square it: 2025² = 4,100,625 Now add the “blocks”: 4 1 006 25 = 36? Wait, no — try 41 00 625 = 666 A spooky little coincidence to end the year on! • It's the smallest number (and first year in centuries) that is a square and whose digits are exactly 2,0,2,5 in some order. Math constantly hides these patterns in everyday numbers — from calendars to calculations, beauty emerges when you look closer. Which property surprises you most? Or do you have another cool fact about 2025 (or 2026 preview)? #Math #Mathematics #NumberTheory #PerfectSquare

3^n n^2 2019 is a perfect square #NumberTheory #PerfectSquare

Vieta Jumping #Algebra #Polynomial #Vieta #VietaJumping #PerfectSquare

a^2 b^2-ab is not a square #NumberTheory #PerfectSquare #India #NumberTheorySolved

One of my favourites problems, yeah! #NumberTheory #Divisibility #DiophantineEquation #PerfectSquare #VietaJumping #IMO #IMO1988

2025 is a perfect square year! 🟦 Why? 2025 = 45² (45 x 45 = 2025), making it a square number. It’s THE year to act now! #PerfectSquare #2025 #DoNow #TheMoreYouKnow

2^x 3^y a perfect square, find positive integers x,y #NumberTheory #PerfectSquare #PositiveIntegers

It’s a rare kind of symmetry Today is 5/5/25 → and √25 = 5 That makes it Square Root Day! Only happens 9 times a century — so make it count. #SquareRootDay #FunWithMath #PerfectSquare #RareDates #MathNerd #5x5Equals25 #CalendarTrivia #NumberNerds #DateGeeks #MathIsCool

Russian NT with a Ceiling #CeilingFunction #NumberTheory #IMOShortlist #IMOShortlist2019 #PerfectSquare

IMO Shortlist 2013, Number Theory #4 #NumberTheory #PerfectSquare #DecimalRepresentation #IMOShortlist #Hi

#AAI is committed to empowering and honouring its women at workplace, for their invaluable contributions in shaping the #CivilAviation Industry. Today at #AAI’s Corporate Headquarters in #NewDelhi, an insightful seminar on ‘Women Empowerment’ was conducted in the presence of Ms. Maya Lavania, Executive Director (Administration), #AAI. This session witnessed an impactful & engaging presentation by Sh. Y K Verma, CEO, #PerfectSquare. It also brought together women officials from different departments, fostering insightful discussions on #PersonalGrowth, #DecisionMaking in the face of challenges and the evolving role of women in the #AviationIndustry.

Perfect square in sequence #NumberTheory #PerfectSquare

🌟 Why 2025 is Mathematically Amazing! 🌟 As we step into 2025, let's uncover the hidden math magic of this year! 🧮✨ 1️⃣ A Perfect Square 2025 = 45² 🎯 Isn’t that incredible? Perfect squares are rare gems in the calendar! 2️⃣ Sum It Up Add the digits: 2 0 2 5 = 9 – perfectly divisible by 3! 🟢 3️⃣ Prime Factorization Perfection 2025 = 5⁴ × 3² – a neat composite number with structured divisors. 4️⃣ Rich in Divisors Divisible by 1, 3, 5, 9, 15, 25, 45, 75, 135, 225, 405, 675, 2025 – endless ways to celebrate! 🎉 5️⃣ Palindrome Connection Its square root, 45, is a perfect palindrome! Symmetry at its best. 🔄 2025 is more than just a year; it's a mathematical masterpiece! 💡 Let’s embrace its unique charm and make it equally amazing in our lives. #2025 #MathMagic #PerfectSquare #NumericalFun

I don't do math. I'm believing. #2025 #PerfectSquare 🔲

No integer of form n^7 7 is a perfect square #Algebra #PerfectSquare #NumberTheory #TST #USA #Hi