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PEN Problems
No new posts 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 View latest post
No new posts B. Congruences
\quoting{Mathematics is the queen of the sciences and number theory is the queen of Mathematics. }{Johann Carl Friedrich Gauss}
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Mon Jul 15, 2013 4:43 pm
jordan View latest post
No new posts C. Primes and Composite Numbers
\quoting{Wherever there is number, there is beauty.}{Proclus Diadochus}
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Wed Mar 27, 2013 4:21 pm
jordan View latest post
No new posts 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 View latest post
No new posts 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 View latest post
No new posts F. Functional Equations
\quoting{The only way to learn Mathematics is to do Mathematics.}{Paul Halmos}
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Thu Feb 28, 2013 12:17 am
jordan View latest post
No new posts 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}
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Thu Mar 14, 2013 9:38 am
jordan View latest post
No new posts 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}
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Mon Dec 24, 2012 12:44 am
jordan View latest post
No new posts 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 View latest post
No new posts J. Algebraic Number Theory

 24   85  14
Wed Feb 27, 2013 11:23 am
jordan View latest post
No new posts K. Analytic Number Theory
\quoting{Number theorists are like lotus-eaters - having tasted this food they can never give it up.}{Leopold Kronecker}
 20   71  10
Thu Jan 17, 2013 7:37 am
jordan View latest post
No new posts L. Geometric Number Theory

 10   42  9
Mon Dec 24, 2012 8:03 pm
jordan View latest post
No new posts 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 View latest post
Staff Section
No new posts System Topics

 3   3  Pen Exit
Mon Feb 12, 2007 2:04 pm
Peter View latest post
No new posts Test
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