Engineering↗
Checking the Condition C_p
The central congruence condition of the Jacobi sum test, what it asserts, and how it is verified in practice.
Tag
Primality
Every page in the KEVOS library tagged Primality. 7 pages.
Engineering↗
Primality Versus Factoring: Framing the Problems
Why proving compositeness is easy, proving primality is harder, and factoring is harder still — and what this asymmetry means in practice.
Engineering↗
Classical Primality Proofs: Pocklington and Lehmer
The Pocklington-Lehmer N−1 test, partial factorisation requirements, the N+1 test with Lucas sequences, and combined methods.
Engineering↗
Compositeness Tests: Fermat and Miller–Rabin
The Fermat test and its failure on Carmichael numbers, the strong probable prime test of Miller-Rabin, error bounds, deterministic base sets for bounded ranges, and Baillie-PSW.
Engineering↗
Elliptic Curve Primality Proving
Goldwasser-Kilian and Atkin-Morain elliptic curve primality proving: the group order downstep, the CM method for avoiding point counting, certificate structure and verification.
Engineering↗
Primality Testing versus Factoring
The separation between primality testing and factoring, compositeness tests versus primality proofs, probable primes, pseudoprimes, and how to select a testing strategy.
Engineering↗
The Jacobi Sum Primality Test
The Adleman-Pomerance-Rumely test and its Cohen-Lenstra refinement: cyclotomic extensions, characters and Jacobi sums, the basic test, and the final trial division stage.
Related
Other tags in the library.
mathematics 387
abstract algebra 252
Machine Design 184
business 179
project management 158
Computational Number Theory 123
algebra handbook 85
graduate mathematics 85
handbook 79
templates and examples 78
History of Engineering 77
Manufacturing 76
algebra and trigonometry 74
universal algebra 62
algebra 60
project delivery 60
principles of project management 58
advanced algebra 53
Fasteners and Joints 53
Civil Engineering 48
CAD 42
Context and scope 42
Machine Elements 40
Threading and Gaging 37
Mechanical Engineering 35
Power Transmission 34
template 34
Operational Excellence 32
example 31
project leadership 31
project teams 31
strategy 31
Business Expansion 29
Metrology 29
project management research 29
Sales & Marketing 29
personal development 27
behaviour change 26
habits 26
systems 26