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2. Fermat's theorem on sums of two squares - Wikipedia

   en.wikipedia.org/wiki/Fermat's_theorem_on_sums_of...

   In additive number theory, Fermat 's theorem on sums of two squares states that an odd prime p can be expressed as: with x and y integers, if and only if. The prime numbers for which this is true are called Pythagorean primes . For example, the primes 5, 13, 17, 29, 37 and 41 are all congruent to 1 modulo 4, and they can be expressed as sums of ...

3. Sumatra PDF - Wikipedia

   en.wikipedia.org/wiki/Sumatra_PDF

   The first version of Sumatra PDF, designated version 0.1, was based on Xpdf 0.2 and was released on 1 June 2006. It switched to Poppler from version 0.2. In version 0.4, it changed to MuPDF for more speed [4] and better support for the Windows platform. Poppler remained as alternative engine for a time, and from version 0.6 to 0.8 it was ...

4. Modular multiplicative inverse - Wikipedia

   en.wikipedia.org/wiki/Modular_multiplicative_inverse

   Modular multiplicative inverse. In mathematics, particularly in the area of arithmetic, a modular multiplicative inverse of an integer a is an integer x such that the product ax is congruent to 1 with respect to the modulus m. [1] In the standard notation of modular arithmetic this congruence is written as.

5. Modulo (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Modulo_(mathematics)

   Modulo is a mathematical jargon that was introduced into mathematics in the book Disquisitiones Arithmeticae by Carl Friedrich Gauss in 1801. [3] Given the integers a, b and n, the expression "a ≡ b (mod n)", pronounced "a is congruent to b modulo n", means that a − b is an integer multiple of n, or equivalently, a and b both share the same remainder when divided by n.

6. AOL Mail

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   You can find instant answers on our AOL Mail help page. Should you need additional assistance we have experts available around the clock at 800-730-2563.

7. Quadratic reciprocity - Wikipedia

   en.wikipedia.org/wiki/Quadratic_reciprocity

   Quadratic Reciprocity (Legendre's statement). If p or q are congruent to 1 modulo 4, then: is solvable if and only if is solvable. If p and q are congruent to 3 modulo 4, then: is solvable if and only if is not solvable. The last is immediately equivalent to the modern form stated in the introduction above.