Table of congruences information

mathematics, a congruence is an equivalence relation on the integers. The following sections list important or interesting prime-related congruences. There are...

type of algebra to which the methods of universal algebra must be applied ... Chinese remainder theorem Congruence lattice problem Table of congruences Since...

Wilson prime. There are 13 Wilson numbers up to 5×108. PrimeGrid Table of congruences Wall–Sun–Sun prime Wieferich prime Wolstenholme prime Edward Waring...

such a wide range of applications, it is important to know how hard it is to solve a system of congruences. A linear system of congruences can be solved in...

ascending chain of congruences on S. Every ideal I of a semigroup induces a factor semigroup, the Rees factor semigroup, via the congruence ρ defined by...

probability and statistics Physical constants List of logic symbols List of mathematical constants Table of mathematical symbols by introduction date Blackboard...

broadest sense also resulted from the study of FLT Wilson prime Table of congruences – lists other congruences satisfied by prime numbers PrimeGrid – primes...

 0) is about 1/p. Wieferich prime Wall–Sun–Sun prime Wilson prime Table of congruences Wolstenholme primes were first described by McIntosh in McIntosh...

multiplicative group of nonzero elements of the field ( Z / p Z ) {\displaystyle (\mathbb {Z} /p\mathbb {Z} )} . (In other words, every congruence class except...

σ is a congruence and, in fact, it is a group congruence, meaning that the factor semigroup S/σ is a group. In the set of all group congruences on a semigroup...

representations and congruences for coefficients of modular forms", in Kuyk, Willem; Serre, Jean-Pierre (eds.), Modular functions of one variable, III,...

referenced. The table of month lengths can be replaced following the method of encoding the month-length variation in Zeller's congruence. As in Zeller...

A003273 in the OEIS) Congruent number table: n ≤ 120 For example, 5 is a congruent number because it is the area of a (20/3, 3/2, 41/6) triangle. Similarly...

make Lucas sequences useful in primality testing. The congruence (1) represents one of two congruences defining a Frobenius pseudoprime. Hence, every Frobenius...

element. Because of its trivial nature, the case of congruences modulo 1 is generally ignored and some authors choose not to include the case of n = 1 in theorem...

remainder on the result of the usual sum, difference, or product of integers. Equality of integers corresponds to congruence in modular arithmetic: x...

following table lists the parameters of LCGs in common use, including built-in rand() functions in runtime libraries of various compilers. This table is to...

experiments, as the following table shows. Indeed, the relation provides a viable means for obtaining thermal conductivities of gases since these are more...

see question marks, boxes, or other symbols instead of mathematical symbols. The following table lists many specialized symbols commonly used in modern...

Srinivasa Ramanujan in a paper published in 1919 proved the following congruences involving the partition function p(n): p(5n + 4) ≡ 0 (mod 5) p(7n + 5)...

The new book of prime number records. New York: Springer-Verlag. p. 347. ISBN 0-387-94457-5. "Mirimanoff's Congruence: Other Congruences". Retrieved 26...

continuous decline in the 20th century. The following table lists estimates for the population of India (including what are now Pakistan and Bangladesh)...

Since I {\displaystyle I} is an ideal of S {\displaystyle S} , the relation ρ {\displaystyle \rho } is a congruence on S {\displaystyle S} . The quotient...

calendars, plus a table to show which one-year calendar is to be used for any given year. These one-year calendars divide evenly into two sets of seven calendars:...

complicated-looking rules for the quadratic characters of 3 and −5, which depend upon congruences modulo 12 and 20 respectively, are simply the ones for...