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  2. List of International Mathematical Olympiads - Wikipedia

    en.wikipedia.org/wiki/List_of_International...

    The number of participating countries has since risen: 14 countries took part in 1969, 50 in 1989, and 104 in 2009. [5] North Korea is the only country whose entire team has been caught cheating, resulting in its disqualification at the 32nd IMO in 1991 and the 51st IMO in 2010. [6] (However, the 2010 case was controversial.

  3. Vieta jumping - Wikipedia

    en.wikipedia.org/wiki/Vieta_jumping

    This method can be applied to problem #6 at IMO 1988: Let a and b be positive integers such that ab + 1 divides a 2 + b 2. Prove that ⁠ a 2 + b 2 / ab + 1 ⁠ is a perfect square. Let ⁠ a 2 + b 2 / ab + 1 ⁠ = q and fix the value of q .

  4. List of International Mathematical Olympiad participants

    en.wikipedia.org/wiki/List_of_International...

    Zhuo Qun Song, the most highly decorated IMO contestant with 5 golds and 1 bronze medal. Ciprian Manolescu, the only person to achieve three perfect scores at the IMO (1995–1997). The following table lists all IMO Winners who have won at least three gold medals, with corresponding years and non-gold medals received noted (P denotes a perfect ...

  5. International Mathematical Olympiad - Wikipedia

    en.wikipedia.org/wiki/International_Mathematical...

    The Bangladesh team at the 2009 IMO Serbia's team for the 2010 IMO Zhuo Qun (Alex) Song (Canadian), the most highly decorated IMO contestant with 5 golds and 1 bronze medal Maryam Mirzakhani (Iran), the first woman to be honored with a Fields Medal, won 2 gold medals in 1994 and 1995, getting a perfect score in the second year.

  6. Chinese Mathematical Olympiad - Wikipedia

    en.wikipedia.org/wiki/Chinese_Mathematical_Olympiad

    Two papers are set, each with 3 problems. The examination is held on two consecutive mornings, and contestants have 4 hours and 30 minutes each day to work on the 3 problems. The Chinese Mathematical Olympiad is graded in 3-point increments, so that each problem is worth 21 points, making the total score 126, triple that of the IMO. [4]

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  9. Lists of mathematics topics - Wikipedia

    en.wikipedia.org/wiki/Lists_of_mathematics_topics

    Number theory is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions. German mathematician Carl Friedrich Gauss said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics." Number theory also studies the natural, or whole, numbers.