…
►For current records see
The Great Internet Mersenne Prime Search.
►A
pseudoprime test is a
test that correctly identifies most composite numbers.
…Descriptions and comparisons of
pseudoprime tests are given in
Bressoud and Wagon (2000, §§2.4, 4.2, and 8.2) and
Crandall and Pomerance (2005, §§3.4–3.6).
…
…
►Links to research literature for the Lambert
-function and for
test software are included also.
…
►
§4.48(v) Testing
…
…
►These algorithms are used for
testing primality of
Mersenne numbers,
, and
Fermat numbers,
.
…
►The
APR (Adleman–Pomerance–Rumely) algorithm for primality
testing is based on Jacobi sums.
…
►The
AKS (Agrawal–Kayal–Saxena) algorithm is the first deterministic, polynomial-time, primality
test.
…
…
►
§1.16(i) Test Functions
…
►A
test function is an infinitely differentiable function of compact support.
…
►
►The linear space of all
test functions with the above definition of convergence is called
a test function space.
…
…
…
►For other statistical applications of
functions of matrix argument see
Perlman and Olkin (1980),
Groeneboom and Truax (2000),
Bhaumik and Sarkar (2002),
Richards (2004) (monotonicity of power functions of multivariate statistical
test criteria),
Bingham et al. (1992) (Procrustes analysis), and
Phillips (1986) (exact distributions of statistical
test criteria).
…
…
► 227, in 1980,
Factorization and Primality Testing, published by Springer-Verlag in 1989,
Second Year Calculus from Celestial Mechanics to Special
Relativity, published by Springer-Verlag in 1992,
A Radical
Approach to Real Analysis, published by the Mathematical Association of America in 1994, with a second edition in 2007,
Proofs and Confirmations: The Story of the Alternating Sign Matrix Conjecture, published by the Mathematical Association of America and Cambridge University Press in 1999,
A Course in Computational Number Theory (with S.
…
…
►His research interests have centered on numerical analysis, special functions, computer arithmetic, and mathematical software construction and
testing.
…
…
►The resulting points are then
tested for finite order as follows.
…
►
§23.20(iii) Factorization
►§
27.16 describes the use of primality
testing and factorization in cryptography.
…
…
►This immediately led to discussions among some of the project members about what might be possible, and the discovery that some interactive graphics work had already been done for the NIST Matrix Market, a publicly available repository of
test matrices for comparing the effectiveness of numerical linear algebra algorithms.
…