2025 is perfect square year

2025 is a perfect square year and this rare and fascinating mathematical milestone makes the year 2025 remarkable. The total sum of its first two digits and last two digits (20 + 25) square is 2025 - a perfect square of 45 (45² = 2025) and it’s also the product of two squares (9² x 5² = 2025). Furthermore, it’s the sum of three squares (40² + 20² + 5² = 2025). On top of that, 2025 is the sum of the cubes of digits from 1 to 9 (1³ + 2³ + 3³ + 4³ + 5³ + 6³ + 7³ + 8³ + 9³ = 2025) and 2025 is the square of the sum of the first nine positive integers (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9)² = 2025. We thought it is a beautiful reminder of Nicomachus's theorem (the square of the nth triangular number is equal to the sum of the first n cubes). 1³ + 2³ + 3³ + 4³ + 5³ + 6³ + 7³ + 8³ + 9³ = (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9)² = 2025 Perfect squares are always positive because a negative number multiplied by a negative number results in a positive number and 2025 marks the first perfect square year since 1936. Till now, there have been 45 perfect square years in total. The previous perfect square year was 1936 (44²), which occurred 89 years ago. Before that, the perfect square year was 1849 (43²), which happened 87 years earlier (44²) and it’s also the only perfect square year this generation will experience, as the next perfect square year will be in 2116 (46²), 91 years from now. The sequence of perfect square years began back in 1 AD. As the number grows larger, the gaps between perfect square years also get bigger, making each one feel even more significant. Let’s make 2025, a mathematical marvel, a year to remember!