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Math -- CRG4.com

My page on prime numbers, exploring deterministic tests for small primes with the strong Fermat (Rabin-Miller) test. Certain numbers could be considered uninteresting. This page explores which numbers are so marked and what commonality, if any, there is between such markings. Voting Theory / Social Choice. 91 Voting system terminology:. An introduction to terminology in voting systems, like weak orders, the Smith criterion, and Pareo efficiency. Includes diagrams to help make relationships clearer. Other...

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Math -- CRG4.com | math.crg4.com Reviews
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My page on prime numbers, exploring deterministic tests for small primes with the strong Fermat (Rabin-Miller) test. Certain numbers could be considered uninteresting. This page explores which numbers are so marked and what commonality, if any, there is between such markings. Voting Theory / Social Choice. 91 Voting system terminology:. An introduction to terminology in voting systems, like weak orders, the Smith criterion, and Pareo efficiency. Includes diagrams to help make relationships clearer. Other...
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Math -- CRG4.com | math.crg4.com Reviews

https://math.crg4.com

My page on prime numbers, exploring deterministic tests for small primes with the strong Fermat (Rabin-Miller) test. Certain numbers could be considered uninteresting. This page explores which numbers are so marked and what commonality, if any, there is between such markings. Voting Theory / Social Choice. 91 Voting system terminology:. An introduction to terminology in voting systems, like weak orders, the Smith criterion, and Pareo efficiency. Includes diagrams to help make relationships clearer. Other...

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math.crg4.com math.crg4.com
1

Math -- CRG4.com

http://math.crg4.com/primes.html

The first strong pseudoprimes to bases p. 3,215,031,751. 2,152,302,898,747. 3,474,749,660,383. 341,550,071,728,321. 341,550,071,728,321. Le;3,825,123,056,546,413,051. Le;3,825,123,056,546,413,051. Le;3,825,123,056,546,413,051. Le;318,665,857,834,031,151,167,461. Finding Small Prime Numbers. Note (October 9, 2008): My calculations are incorrect and I am withdrawing my claim to an efficient set of bases. See notes by QU Shun Liang. For details, as well as a possible replacement set of bases. 4,759,123,141.

2

Sloane's sequences -- CRG4.com

http://math.crg4.com/oeis.html

N J A Sloane's Online Encyclopedia of Integer Sequences. Is one of the most useful numerical resources anywhere. If you're not familiar with it, you owe it to yourself to look at it and try a few searches. I've contributed to a number of Sloane's sequences. In some cases I wrote and optimized programs and applied a few trillion cycles; in others, I simply conveyed research I had come across when the database was behind. Primarily for my own interest I compiled this list:. Sequences I created: A108797.

3

Math Reviews -- CRG4.com

http://math.crg4.com/reviews.html

This is the place that I comment on books I liked, books I don't like, and books that otherwise struck my interest. The focus here is on mathematics construed broadly. The Man Who Loved Only Numbers. Length: 268 pages (plus pictures), about 90,000 words. The Man Who Loved Only Numbers: The Story of Paul Erdős and the Search for Mathematical Truth. Hyperion: New York, 1998. Edition reviewed: Second (first paperback). The Book of Numbers. Length: 300 pages (including pictures), about 70,000 words.

4

Uninteresting numbers -- CRG4.com

http://math.crg4.com/uninteresting.html

I've often heard without attribution the 'proof' that all natural numbers are interesting (because being the smallest uninteresting number is an interesting property). Along those lines, I've decided to collect lists of numbers with the interesting property of being deemed uninteresting. Ramanujan's taxicab number 1729 = 12³ 1³ = 10³ 9³ is perhaps the most famous interesting number. In order to list these numbers in a concrete way, I have found several lists of. What's Special About This Number? 104, 138...

5

Moose Theory -- CRG4.com

http://math.crg4.com/moose.html

Introduction to Moose Theory. After her seminal 1972 paper. Reducibility among moose problems. Dr Alces practically invented the field of moose theory. For years, students and instructors have found her introductory text one of the most lucid expositions on the subject. After 11 years, though, the book was due for revision. Chapers 6 and 11 were expanded with new material, and a new chapter was added. Introduction to Moose Theory: Second Edition.

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math.nist.gov math.nist.gov

Quantum Algorithm Zoo

http://math.nist.gov/quantum/zoo

This is a comprehensive catalog of quantum algorithms. If you notice any errors or omissions, please email me at. Your help is appreciated and will be acknowledged. Algebraic and Number Theoretic Algorithms. Bit integer, find the prime factorization. The quantum algorithm of Peter Shor solves this in ( widetilde{O} (n 3) ) time [ 82. There are proposed classical public-key cryptosystems not believed to be broken by quantum algorithms, cf. At the core of Shor's factoring algorithm is order finding, which ...

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Math -- CRG4.com

My page on prime numbers, exploring deterministic tests for small primes with the strong Fermat (Rabin-Miller) test. Certain numbers could be considered uninteresting. This page explores which numbers are so marked and what commonality, if any, there is between such markings. Voting Theory / Social Choice. 91 Voting system terminology:. An introduction to terminology in voting systems, like weak orders, the Smith criterion, and Pareo efficiency. Includes diagrams to help make relationships clearer. Other...

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