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Natural number
← 143 144 145 → Cardinal one hundred forty-four Ordinal 144th144 (one hundred [and] forty-four) is the natural number following 143 and preceding 145. It is coincidentally both the square of twelve (a dozen dozens, or one gross) and the twelfth Fibonacci number, and the only nontrivial number in the sequence that is square.[1][2]
144 is a highly totient number.[3]
144 is the smallest number whose fifth power is a sum of four (smaller) fifth powers. This solution was found in 1966 by L. J. Lander and T. R. Parkin, and disproved Euler's sum of powers conjecture. It was famously published in a paper by both authors, whose body consisted of only two sentences:[4]
A direct search on the CDC 6600 yielded
275 + 845 + 105 + 1335 = 1445
as the smallest instance in which four fifth powers sum to a fifth power. This is a counterexample to a conjecture by Euler that at least n nth powers are required to sum to an nth power, n > 2.
It is also a square (12·12=144).
A traditional set of 144 Chinese Mahjong tiles.RetroSearch is an open source project built by @garambo | Open a GitHub Issue
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