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Math for the people, by the people.

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PlanetMath is a virtual community which aims to help make mathematical knowledge more accessible. PlanetMath's content is created collaboratively: the main feature is the mathematics encyclopedia with entries written and reviewed by members. The entries are contributed under the terms of the Creative Commons By/Share-Alike License in order to preserve the rights of authors, readers and other content creators in a sensible way. We use LaTeX, the lingua franca of the worldwide mathematical community.

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Latest Messages  

[p] search engine by akdevaraj Feb 4
Search engine still not functioning!

[p] Legendre's symbol by akdevaraj Jan 29
(a/p) is the Legendre symbol for quadratic residues and non-residues. If (a/p) = -1 it means a is not a quadratic residue of p. Another way of expressing this: the p (under ref ) is an impossible prime factor of (x^2 - a ).For further examples of this concept see A123239, A 072936 and A 119691 on OEIS.

[p] Book by akdevaraj Jan 26
Currently reading "prime numbers - a computational perspective" by Richard Crandall and Carl Pomerance. This is a monumental book on prime numbers, primality testing and factorisation.

[p] Book by akdevaraj Jan 26
Currently reading "prime numbers - a computational perspective" by Richard Crandall and Carl Pomerance. This is a monumental book on prime numbers, primality testing and factorisation.

[p] Book by akdevaraj Jan 26
Currently reading "prime numbers - a computational perspective" by Richard Crandall and Carl Pomerance. This is a monumental book on prime numbers, primality testing and factorisation.

[p] Indirect primality testing by akdevaraj Jan 24
Dear dh2718, thanks for the compliment.

[p] Indirect primality testing by akdevaraj Jan 23
Dear Permalink-you are right about bio-age; I am 85.

[p] Indirect primality testing by akdevaraj Jan 13
Dear Peruchio - f(x+k*f(x)) - star means "multiply". k belongs to Z Thus in this case since f(x) = x^2+x+1, f(x+k*f(x)) means 1 + 3k. Trust this is clear.

[p] An Indirect Primality Test by perucho Jan 9
Hi akdevarad, may you please explain me, rigurously, how do the function f(x+K*f(x)) (you don't explain what * means), containing as argument the proper function, could be congruent to 0 (mod f(x))? For sure your sentence needs a lot of rigurous mathematical explanation.

[P] Indirect primality testing by akdevaraj 15-12-30
Indirect primality testing is not only possible when f(n) = n^2 +n +1 but also in the cases of several quadratic polynomials in which the constant term is not large. Further research needs to be done to establish the relative efficiency of indirect vs direct primality testing.

[P] A request to Jussi by akdevaraj 15-12-24
Pl write an article on simple groups.

[P] Good news by akdevaraj 15-12-17
Happy to inform members that Carl Pomerance has given qualified support to my concept of indirect primality testing.

[P] No questions. by pahio 15-11-10
No questions.

[P] sketch proof - in commonly understood terminology by akdevaraj 15-11-10
I would like to conclude my message with one point: The fact that any value of n skiped is such that f(n) is prime can be proved: f(n)=n^2+n+1 is such that whenever f(n) is composite one of its factors is smaller than n. This implies that it that the relevant n has to satisfy a prior failure function. Any question, Jussi?