Vijilant - Number Theory - Mathematics - Science

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Expert Profile: Vijilant

Expertise: Most questions on number theory, divisibility, primes, Euclidean algorithm, Fermat`s theorem, Wilson`s theorem, factorisation, euclidean algorithm, diophantine equations, Chinese remainder theorem, group theory, congruences, continued fractions.

Experience in the area
Teacher of math for 48 years

Organizations
ATL

Publications
Journal of mathematics and its applications

Education/Credentials
BSc Hons Liverpool

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What do you like about this subject? The variety, and the fact that everyone can participate. Anyone could discover a new largest prime number by joining the Mersenne prime project, using their computer off-line in the background to do masses of calculations.

What do you still hope to achieve/learn in this field? I would love to have enough knowledge to completely understand Andrew Wiles's proof of Fermat's last theorem.

Something controversial or provocative about this subject Does the beauty I find in number theory demand a divine creator for the Universe?

Something interesting about this subject that others may not know: Secure encrypted messaging can be dependent on the difficulty of factorising the product of two large prime numbers.

Average Ratings
Prestige Points: 9528
Knowledge	9.93 Best of the best
Clarity of Response	9.87 Best of the best
Timeliness	9.97 Best of the best
Politeness	9.95 Best of the best
Number Of Questions (in Past 24 Hours)		1
Max Questions to be Asked (in 24 Hour period)		5
Total Questions (since joining AllExperts)		907

Recent Reviews from Users

Knowl	Clarity	Time	Politeness	Date
10	10	10	10	12/02/08
10	10	10	10	11/18/08
7	6	10	10	11/12/08
10	10	10	10	11/12/08
10	10	10	10	11/04/08

User Comments

Very helpful and quick answer. Responded the same day!! Great helper very nice!!!
(Bridget on 11/18/08)

I foundjoy and pleasure in reading the responses last tym and this made mathematics, especially this topic interesting. Thank you a lot and i will con
(olebile lekoko on 11/12/08)

thank you very much. i found the information very helpful and i will trust your site for most of my tutorials. thank you once more.
(olebile lekoko on 11/04/08)

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Recent Answers from Vijilant

2008-11-18 Follow up question: Hello Bridget x^2 + 5x + 1 = 0 mod 47 5 is even so add 47 to get x^2 + 52x + 1 = 0 mod 47 Now you can complete the square. (x+26)^2 = 26^2-1 = 17 mod 47 You do the other one in the same way. There...

2008-11-18 Number Theory: Hello Bridget I think this is a copy of the answer you need Questioner: Jules Category: Number Theory Private: Yes Subject: Number Theory Question: I am so struggling with this. I have...

2008-11-17 mathmatics-number theory: Hello natraj I assume that you can use the quadratic residues theorem. Firstly 2 is a a special case. -3 = 1 mod 2. Now the odd primes (-3/p) = (-1/p)*(3/p). (-1/p) = (-1)^((p-1)/2) so =1 if p = 1...

2008-11-16 recurring decimals: Hello Dan This is a very interesting question, and I hadn't realised that before, so thank you. I will try to explain it, but haven't time to develop a rigorous proof. When we divide 1.000000.. by 7...

2008-11-14 heavyweight: Hello Rodney I wonder if you are the Rodney from 'All fools and horses'. Or should it be elephants? 1E60 is 1 with 60 zeroes after it. So a million is 1E6. The biggest number of estimated counted...