Forum 
Topics 
Posts 
Last Post 
PEN Problems


A. Divisibility Theory
\quoting{Why are numbers beautiful? It's like asking why is Beethoven's Ninth Symphony beautiful. If you don't see why, someone can't tell you. I know numbers are beautiful. If they aren't beautiful, nothing is.}{Paul Erd\"os}

120 
517 
90
Mon Sep 09, 2013 3:49 pm
harrypham


B. Congruences
\quoting{Mathematics is the queen of the sciences and number theory is the queen of Mathematics. }{Johann Carl Friedrich Gauss}

24 
82 
1
Mon Jul 15, 2013 4:43 pm
jordan


C. Primes and Composite Numbers
\quoting{Wherever there is number, there is beauty.}{Proclus Diadochus}

35 
163 
18
Wed Mar 27, 2013 4:21 pm
jordan


D. Rational Numbers
\quoting{God made the integers, all else is the work of man.}{Leopold Kronecker }

40 
123 
5
Mon Dec 24, 2012 1:22 am
jordan


E. Diophantine Equations
\quoting{To divide a cube into two other cubes, a fourth power or in general any power whatever into two powers of the same denomination above the second is impossible, and I have assuredly found an admirable proof of this, but the margin is too narrow to contain it.}{Pierre de Fermat, in the margin of his copy of Diophantus' Arithmetica}

90 
357 
88
Tue Sep 10, 2013 11:50 am
harrypham


F. Functional Equations
\quoting{The only way to learn Mathematics is to do Mathematics.}{Paul Halmos}

33 
111 
22
Thu Feb 28, 2013 12:17 am
jordan


G. Sequences of Integers
\quoting{A peculiarity of the higher arithmetic is the great difficulty which has often been experienced in proving simple general theorems which had been suggested quite naturally by numerical evidence.}{Harold Davenport}

65 
216 
19
Thu Mar 14, 2013 9:38 am
jordan


H. Additive Number Theory
\quoting{I remember once going to see him when he was lying ill at Putney. I had ridden in taxi cab number $1729$ and remarked that the number seemed to me rather a dull one, and that I hoped it was not an unfavorable omen. `No,' he replied, `it is a very interesting number; it is the smallest number expressible as the sum of two cubes in two different ways.'}{G. H. Hardy, on Ramanujan}

43 
129 
19
Mon Dec 24, 2012 12:44 am
jordan


I. Combinatorial Number Theory
\quoting{In great mathematics there is a very high degree of unexpectedness, combined with inevitability and economy.}{Godfrey Harold Hardy}

77 
224 
9
Thu Jan 17, 2013 1:00 am
jordan


J. Algebraic Number Theory

24 
85 
14
Wed Feb 27, 2013 11:23 am
jordan


K. Analytic Number Theory
\quoting{Number theorists are like lotuseaters  having tasted this food they can never give it up.}{Leopold Kronecker}

20 
71 
10
Thu Jan 17, 2013 7:37 am
jordan


L. Geometric Number Theory

10 
42 
9
Mon Dec 24, 2012 8:03 pm
jordan


M. Miscellaneous Problems
\quoting{Mathematics is not yet ready for such problems.}{Paul Erd\"os}

38 
109 
5
Sat May 04, 2013 7:56 pm
jordan

Staff Section


System Topics

3 
3 
Pen Exit
Mon Feb 12, 2007 2:04 pm
Peter


Test
test

0 
0 
No Posts 