e는 무리수라는 증명을 모아봅니다.
http://en.wikipedia.org/wiki/Proof_that_e_is_irrational
http://cazelais.disted.camosun.bc.ca/250/e-irrational.pdf
e 가 초월수라는 증명
http://en.wikipedia.org/wiki/Transcendental_number#Sketch_of_a_proof_that_e_is_transcendental
(1) 작도 가능한 수는 유리수또는 유리수의 제곱근들을 사칙연산한 수 라는 증명
Constructible Numbers http://www.cut-the-knot.org/arithmetic/rational.shtml
(2) 정다각형의 작도
Constructible polygon http://en.wikipedia.org/wiki/Constructible_polygon
(3) 각의 3등분
N. Schrenk and J. Bond, On the trisection of an angle and the construction of regular polygons of 7 and 9 sides
http://www.nathanschrenk.com/Survey%20Final%20Paper.pdf
(4) The Three Ancient Problems http://www.math.tamu.edu/~dallen/masters/alg_numtheory/delian_problem.pdf
(5) 잘못된 각의 삼등분 해법 등
P. Yiu, The Regular Heptagon by Angle Trisection and Other Constructions
http://math.fau.edu/yiu/regularheptagontrisection070424.pdf
(6) The Three Famous Problems of Antiquity
1. Dupilication of the cube 2. Trisection of an angle 3. Quadrature of the circle
http://web.mst.edu/~lmhall/5-Three%20Problems.pdf
(7) JEFF SUZUKI, A Brief History of Impossibility
MATHEMATICS MAGAZINE, VOL. 81, NO. 1, FEBRUARY 2008, pp. 27-38
http://mathdl.maa.org/images/upload_library/22/Allendoerfer/Suzuki.pdf
적당히 큰수까지 소인수 분해할 수 있는 사이트입니다.
http://www.calculatorsoup.com/calculators/math/prime-factors.php
조금더 큰 경우
http://www.virtuescience.com/prime-factor-calculator.html
자바로 만든 소인수분해 프로그램
http://www.btinternet.com/~se16/js/factor.htm