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While antiderivative, primitive, and indefinite integral are synonymous in the United States, other languages seem not to have any equivalent terms for antiderivative. As others have pointed out here How common is the use of the term "primitive" to mean "antiderivative"?, some languages such as Dutch only use the term, primitive. This aspect of What Are Primitive Roots Modulo N Mathematics Stack Exchange plays a vital role in practical applications.

Furthermore, calculus - Why is "antiderivative" also known as "primitive ... This aspect of What Are Primitive Roots Modulo N Mathematics Stack Exchange plays a vital role in practical applications.

Moreover, hence, all odd numbers are included in at least one primitive triplet. Except 1, because I'm not allowing 0 to be a term in a triplet. I can't think of any primitive triplets that have an even number as the hypotenuse, but I haven't been able to prove that none exist. This aspect of What Are Primitive Roots Modulo N Mathematics Stack Exchange plays a vital role in practical applications.

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Finding a primitive root of a prime number. This aspect of What Are Primitive Roots Modulo N Mathematics Stack Exchange plays a vital role in practical applications.

Furthermore, we fix the primitive roots of unity of order 7,11,13, and denote them by tag zeta_7,zeta_ 11,zeta_ 13 . Now we want to take each primitive root of prime order from above to some power, then multiply them. When the number of primes is small, or at least fixed, the notations are simpler. This aspect of What Are Primitive Roots Modulo N Mathematics Stack Exchange plays a vital role in practical applications.

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Furthermore, primes have not just one primitive root, but many. So you find the first primitive root by taking any number, calculating its powers until the result is 1, and if p 13 you must have 12 different powers until the result is 1 to have a primitive root. This aspect of What Are Primitive Roots Modulo N Mathematics Stack Exchange plays a vital role in practical applications.

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Hence, all odd numbers are included in at least one primitive triplet. Except 1, because I'm not allowing 0 to be a term in a triplet. I can't think of any primitive triplets that have an even number as the hypotenuse, but I haven't been able to prove that none exist. This aspect of What Are Primitive Roots Modulo N Mathematics Stack Exchange plays a vital role in practical applications.

Furthermore, how would you find a primitive root of a prime number such as 761? How do you pick the primitive roots to test? Randomly? Thanks. This aspect of What Are Primitive Roots Modulo N Mathematics Stack Exchange plays a vital role in practical applications.

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We fix the primitive roots of unity of order 7,11,13, and denote them by tag zeta_7,zeta_ 11,zeta_ 13 . Now we want to take each primitive root of prime order from above to some power, then multiply them. When the number of primes is small, or at least fixed, the notations are simpler. This aspect of What Are Primitive Roots Modulo N Mathematics Stack Exchange plays a vital role in practical applications.

Furthermore, primes have not just one primitive root, but many. So you find the first primitive root by taking any number, calculating its powers until the result is 1, and if p 13 you must have 12 different powers until the result is 1 to have a primitive root. This aspect of What Are Primitive Roots Modulo N Mathematics Stack Exchange plays a vital role in practical applications.

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While antiderivative, primitive, and indefinite integral are synonymous in the United States, other languages seem not to have any equivalent terms for antiderivative. As others have pointed out here How common is the use of the term "primitive" to mean "antiderivative"?, some languages such as Dutch only use the term, primitive. This aspect of What Are Primitive Roots Modulo N Mathematics Stack Exchange plays a vital role in practical applications.

Furthermore, are all natural numbers (except 1 and 2) part of at least one primitive ... This aspect of What Are Primitive Roots Modulo N Mathematics Stack Exchange plays a vital role in practical applications.

Moreover, primes have not just one primitive root, but many. So you find the first primitive root by taking any number, calculating its powers until the result is 1, and if p 13 you must have 12 different powers until the result is 1 to have a primitive root. This aspect of What Are Primitive Roots Modulo N Mathematics Stack Exchange plays a vital role in practical applications.

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• calculus - Why is "antiderivative" also known as "primitive ...
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