User contributions
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- 22:36, 13 December 2023 (diff | hist) . . (+71) . . 1991 OIM Problems/Problem 4
- 22:35, 13 December 2023 (diff | hist) . . (+1,444) . . 1991 OIM Problems/Problem 4
- 22:31, 13 December 2023 (diff | hist) . . (+10) . . 1991 OIM Problems/Problem 4
- 22:31, 13 December 2023 (diff | hist) . . (-1) . . 1991 OIM Problems/Problem 4
- 22:30, 13 December 2023 (diff | hist) . . (-179) . . 1991 OIM Problems/Problem 4
- 22:25, 13 December 2023 (diff | hist) . . (0) . . 1991 OIM Problems/Problem 4
- 22:25, 13 December 2023 (diff | hist) . . (+115) . . 1991 OIM Problems/Problem 4
- 22:23, 13 December 2023 (diff | hist) . . (-1,198) . . 1991 OIM Problems/Problem 4
- 22:22, 13 December 2023 (diff | hist) . . (+1) . . 1991 OIM Problems/Problem 4
- 22:21, 13 December 2023 (diff | hist) . . (-4) . . 1991 OIM Problems/Problem 4
- 22:20, 13 December 2023 (diff | hist) . . (+15) . . 1991 OIM Problems/Problem 4
- 22:20, 13 December 2023 (diff | hist) . . (+1,343) . . 1991 OIM Problems/Problem 4
- 22:02, 13 December 2023 (diff | hist) . . (+1,134) . . 1991 OIM Problems/Problem 4
- 21:50, 13 December 2023 (diff | hist) . . (+13) . . 1991 OIM Problems/Problem 3
- 21:50, 13 December 2023 (diff | hist) . . (+6) . . 1991 OIM Problems/Problem 3
- 21:49, 13 December 2023 (diff | hist) . . (+27) . . 1991 OIM Problems/Problem 3
- 21:48, 13 December 2023 (diff | hist) . . (+174) . . 1991 OIM Problems/Problem 3
- 17:20, 13 December 2023 (diff | hist) . . (+192) . . 1991 OIM Problems/Problem 3
- 17:17, 13 December 2023 (diff | hist) . . (+163) . . 1991 OIM Problems/Problem 3
- 17:14, 13 December 2023 (diff | hist) . . (+361) . . 1991 OIM Problems/Problem 3
- 17:12, 13 December 2023 (diff | hist) . . (+119) . . 1991 OIM Problems/Problem 3
- 17:11, 13 December 2023 (diff | hist) . . (+113) . . 1991 OIM Problems/Problem 3
- 17:09, 13 December 2023 (diff | hist) . . (+213) . . 1991 OIM Problems/Problem 3
- 17:06, 13 December 2023 (diff | hist) . . (+11) . . 1991 OIM Problems/Problem 3
- 17:06, 13 December 2023 (diff | hist) . . (+949) . . 1991 OIM Problems/Problem 3
- 16:57, 13 December 2023 (diff | hist) . . (+11) . . 1991 OIM Problems/Problem 3
- 15:42, 13 December 2023 (diff | hist) . . (+510) . . N 2002 OIM Problems/Problem 6 (Created page with "== Problem == Sequences <math>a_n</math>, and <math>b_n</math> with <math>n \ge 0</math> are defined by: <cmath>a_0=1 \text{, }b_0=4\text{, and}</cmath> <cmath>a_{n+1}=a_n^{...")
- 15:38, 13 December 2023 (diff | hist) . . (+688) . . N 2002 OIM Problems/Problem 5 (Created page with "== Problem == In the square <math>ABCD</math>, let <math>P</math> and <math>Q</math> be points belonging to the sides <math>BC</math> and <math>CD</math> respectively, differe...")
- 15:37, 13 December 2023 (diff | hist) . . (+591) . . N 2002 OIM Problems/Problem 4 (Created page with "== Problem == Let <math>M = {1, 2, \cdots , 49}</math> be the set of the first <math>49</math> positive integers. Determine the maximum integer <math>k</math> such that the se...")
- 15:34, 13 December 2023 (diff | hist) . . (+18) . . 2002 OIM Problems/Problem 3
- 15:34, 13 December 2023 (diff | hist) . . (+1) . . 2002 OIM Problems/Problem 3
- 15:34, 13 December 2023 (diff | hist) . . (+2) . . 2002 OIM Problems/Problem 3
- 15:33, 13 December 2023 (diff | hist) . . (+4) . . 2002 OIM Problems/Problem 3
- 15:32, 13 December 2023 (diff | hist) . . (+15) . . 2002 OIM Problems/Problem 3
- 15:31, 13 December 2023 (diff | hist) . . (+7) . . 2002 OIM Problems/Problem 3
- 15:31, 13 December 2023 (diff | hist) . . (-2) . . 2002 OIM Problems/Problem 3
- 15:31, 13 December 2023 (diff | hist) . . (+1,101) . . N 2002 OIM Problems/Problem 3 (Created page with "== Problem == Pablo was copying the following problem: <cmath>\text{Consider all sequences of 2004 real numbers}(x_0,x_1,x_2,\cdots , x_{2003})\text{, such that}</cmath>\ <c...")
- 15:23, 13 December 2023 (diff | hist) . . (+716) . . N 2002 OIM Problems/Problem 2 (Created page with "== Problem == Let <math>C</math> and <math>D</math> be two points on the semicircle of diameter <math>AB</math> such that <math>B</math> and <math>C</math> are in different se...")
- 15:21, 13 December 2023 (diff | hist) . . (+728) . . N 2002 OIM Problems/Problem 1 (Created page with "== Problem == a) There are two sequences, each of 2003 consecutive integers, and a board with 2 rows and 2003 columns Decide if it is always possible to distribute the numbe...")
- 15:18, 13 December 2023 (diff | hist) . . (+493) . . N 2000 OIM Problems/Problem 6 (Created page with "== Problem == A convex hexagon is called "''pretty''" if it has four diagonals of length 1, whose ends include all the vertices of the hexagon. 1. Given any number <math>k</m...") (current)
- 15:17, 13 December 2023 (diff | hist) . . (+599) . . N 2000 OIM Problems/Problem 5 (Created page with "== Problem == There is a pile of 2000 stones. Two players take turns removing stones, alternately, according to the following rules: 1. On each move you can remove 1, 2, 3, 4...") (current)
- 15:16, 13 December 2023 (diff | hist) . . (+417) . . N 2000 OIM Problems/Problem 4 (Created page with "== Problem == From an infinite arithmetic progression <math>1, a_l, a_2, \cdots </math> of real numbers, terms are eliminated, obtaining an infinite geometric progression <mat...") (current)
- 15:15, 13 December 2023 (diff | hist) . . (+287) . . N 2000 OIM Problems/Problem 3 (Created page with "== Problem == Find all solutions to the equation <cmath>(x + 1)^y - x^z = 1</cmath> for <math>x, y, z</math> integers greater than 1. ~translated into English by Tomas Diaz...") (current)
- 15:14, 13 December 2023 (diff | hist) . . (+884) . . N 2000 OIM Problems/Problem 2 (Created page with "== Problem == Let <math>S_1</math> and <math>S_2</math> be two circles, with centers <math>O_1</math> and <math>O_2</math> respectively, secants in <math>M</math> and <math>N<...") (current)
- 15:12, 13 December 2023 (diff | hist) . . (+26) . . 2000 OIM Problems/Problem 1 (current)
- 15:11, 13 December 2023 (diff | hist) . . (+693) . . N 2000 OIM Problems/Problem 1 (Created page with "== Problem == A regular polygon with <math>n</math> sides (<math>n \ge 3</math>) is constructed and its vertices are numbered from 1 to <math>n</math>. All diagonals of the po...")
- 15:10, 13 December 2023 (diff | hist) . . (+958) . . N 1999 OIM Problems/Problem 6 (Created page with "== Problem == Let <math>A</math> and <math>B</math> be points on the plane and <math>C</math> be a point on the bisector of <math>AB</math>. A sequence <math>C_1, C_2, \cdots...") (current)
- 15:07, 13 December 2023 (diff | hist) . . (+586) . . N 1999 OIM Problems/Problem 5 (Created page with "== Problem == An acute triangle <math>ABC</math> is inscribed in a circle with center <math>O</math>. The heights of the triangle are <math>AD</math>, <math>BE</math> and <ma...") (current)
- 15:06, 13 December 2023 (diff | hist) . . (+349) . . N 1999 OIM Problems/Problem 4 (Created page with "== Problem == Let <math>B</math> be an integer greater than 10 such that each of its digits belongs to the set {1, 3, 7, 9}. Show that <math>B</math> has a prime factor greate...") (current)
- 15:04, 13 December 2023 (diff | hist) . . (0) . . 1999 OIM Problems/Problem 3 (current)
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