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A Gaussian integer is either the zero, one of the four units (±1, ±i), a Gaussian prime or composite.The article is a table of Gaussian Integers x + iy followed either by an explicit factorization or followed by the label (p) if the integer is a Gaussian prime.
For example, 15 is a composite number because 15 = 3 · 5, but 7 is a prime number because it cannot be decomposed in this way. If one of the factors is composite, it can in turn be written as a product of smaller factors, for example 60 = 3 · 20 = 3 · (5 · 4) .
The multiplicity of a prime factor p of n is the largest exponent m for which p m divides n. The tables show the multiplicity for each prime factor. ... The first: 1 ...
[12] [13] In 2012, the factorization of was performed with solid-state qubits. [14] Later, in 2012, the factorization of 21 {\displaystyle 21} was achieved. [ 15 ] In 2016, the factorization of 15 {\displaystyle 15} was performed again using trapped-ion qubits with a recycling technique. [ 16 ]
For example, 3 × 5 is an integer factorization of 15, and (x – 2)(x + 2) is a polynomial factorization of x 2 – 4. Factorization is not usually considered meaningful within number systems possessing division , such as the real or complex numbers , since any x {\displaystyle x} can be trivially written as ( x y ) × ( 1 / y ) {\displaystyle ...
Patrick noted that Texas became aware of the materials slated for auction on Dec. 12, the same day the Daily Wire reported the sale. The next day, ...
Name First elements Short description OEIS Mersenne prime exponents : 2, 3, 5, 7, 13, 17, 19, 31, 61, 89, ... Primes p such that 2 p − 1 is prime.: A000043 ...
1:12 p.m. Echoing Trump's claims of voter fraud, Republicans object to Arizona's electoral votes, forcing the House and Senate to split up to deliberate the objection in their separate chambers.