125 (number)

125 1, 5, 25, 125 125 (one hundred [and] twenty-five) is the natural number following 124 and preceding 126. In mathematics 300px|top 125 is the cube of 5. It can be expressed as a sum of two squares in two different ways, 125 = 10² + 5² = 11² + 2².Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): 136 125 and 126 form a Ruth-Aaron pair under the second definition in which repeated prime factors are counted as often as they occur. Like many other powers of 5, it is a Friedman number in base 10 since 125 = 51 + 2. 125 is the center of a close triplet of perfect powers, (121 = 112, 125 = 53, 128 = 27). Excluding the trivial cases of 0 and 1, the only closer such triplet is (4,8,9) and the only other equally close is (25, 27, 32).https://www.sspectra.com/Pillai.txt Solutions to Pillai's equation for n <= 100 Noe Anthony 5 September 2022 Anniversary The 125th anniversary of an event is celebrated as the quasquicentennial.https://www.merriam-webster.com/dictionary/quasquicentennial quasquicentennial Merriam-Webster dictionary January 30, 2026 References 1 Category:Integers