Legendre's three-square theorem
theorem that every nonnegative integer is the sum of three perfect squares unless it is a product of a power of four and a number that is 7 modulo 8
Press Enter · cited answer in seconds
0 sources
Legendre's three-square theorem
Summary
Legendre's three-square theorem is a theorem[1]. It draws 128 Wikipedia views per month (theorem category, ranking #169 of 1,306).[2]
Key Facts
- Legendre's three-square theorem's instance of is recorded as theorem[3].
- Legendre's three-square theorem's Freebase ID is recorded as /m/0y4wpxy[4].
- Legendre's three-square theorem's defining formula is recorded as \forall n\in\mathbb N\colon(\exists(a,b,c)\in\mathbb Z^3\colon n=a^2+b^2+c^2)\iff n\not\in{4^a(8b+7)\colon a,b\in\mathbb N}[5].
- Legendre's three-square theorem's studied by is recorded as number theory[6].
- Legendre's three-square theorem's Google Knowledge Graph ID is recorded as /g/121v2dsq[7].
- Legendre's three-square theorem's maintained by WikiProject is recorded as WikiProject Mathematics[8].
Why It Matters
Legendre's three-square theorem draws 128 Wikipedia views per month (theorem category, ranking #169 of 1,306).[2] It has Wikipedia articles in 12 language editions, a strong signal of global cultural recognition.[9]