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1. The product of two numbers, each of which is a sum of two squares, is itself a sum of two squares. This is a well-known property, based on the identity. due to Diophantus. 2. If a number which is a sum of two squares is divisible by a prime which is a sum of two squares, then the quotient is a sum of two squares.
For any integer n, n ≡ 1 (mod 2) if and only if 3n + 1 / 2 ≡ 2 (mod 3). Equivalently, 2 n − 1 / 3 ≡ 1 (mod 2) if and only if n ≡ 2 (mod 3) . Conjecturally, this inverse relation forms a tree except for a 1–2 loop (the inverse of the 1–2 loop of the function f(n) revised as indicated above).
Sunzi's original formulation: x ≡ 2 (mod 3) ≡ 3 (mod 5) ≡ 2 (mod 7) with the solution x = 23 + 105k, with k an integer In mathematics, the Chinese remainder theorem states that if one knows the remainders of the Euclidean division of an integer n by several integers, then one can determine uniquely the remainder of the division of n by the product of these integers, under the condition ...
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2 mod 3 (above), 3 mod 4, 2 or 3 mod 5, 3, 5, or 6 mod 7, or; 5 mod 8. Combinations of Mordell's identities can be used to expand for all except possibly those that are 1, 121, 169, 289, 361, or 529 mod 840. The smallest prime that these identities do not cover is 1009.
The Minnesota Lynx are one win away from the WNBA Finals after a 90-81 victory over the Connecticut Sun in Game 3 of their semifinals matchup. The Lynx took a 2-1 lead in the best-of-five series ...
1. Who won the Knicks-Wolves trade? Dan Titus: The Wolves. The Knicks got the best player in the deal (Karl-Anthony Towns), but when evaluating the totality of this trade, Minnesota gets the edge ...
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