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The derivative of x 3 equals 3x 2. Cubes occasionally have the surjective property in other fields, such as in F p for such prime p that p ≠ 1 (mod 3), [11] but not necessarily: see the counterexample with rationals above.
11 is a prime number, and a super-prime. 11 forms a twin prime with 13, [6] and sexy pair with 5 and 17. 11 is also the first prime exponent that does not yield a Mersenne prime. 11 is also a Gaussian prime [7] and an Eisenstein prime. [8] 11 is part of a pair of Brown numbers. Only three such pairs of numbers are known.
The equals sign, used to represent equality symbolically in an equation. In mathematics, equality is a relationship between two quantities or expressions, stating that they have the same value, or represent the same mathematical object.
The equals sign (British English) or equal sign (American English), also known as the equality sign, is the mathematical symbol =, which is used to indicate equality in some well-defined sense. [1] In an equation , it is placed between two expressions that have the same value, or for which one studies the conditions under which they have the ...
The triple bar character in Unicode is code point U+2261 ≡ IDENTICAL TO (≡, ≡). [1] The closely related code point U+2262 ≢ NOT IDENTICAL TO (≢, ≢) is the same symbol with a slash through it, indicating the negation of its mathematical meaning.
For example, the third triangular number is (3 × 2 =) 6, the seventh is (7 × 4 =) 28, the 31st is (31 × 16 =) 496, and the 127th is (127 × 64 =) 8128. The final digit of a triangular number is 0, 1, 3, 5, 6, or 8, and thus such numbers never end in 2, 4, 7, or 9. A final 3 must be preceded by a 0 or 5; a final 8 must be preceded by a 2 or 7.
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Raymond "Ray" William Johnson (born August 14, 1981) [1] [2] is an American internet celebrity best known for his eponymous YouTube channel and his web series on that channel, Equals Three. In 2013, the channel surpassed 10 million subscribers and had over 2 billion views, making it one of the most watched and subscribed to channels at the time.