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abc conjecture

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A conjecture in number theory, stated in terms of three positive integers, a, b and c, which have no common factor and satisfy a + b = c. If d denotes the product of the distinct prime factors of abc, the conjecture essentially states that d is usually not much smaller than c. In other words: if a and b are composed from large powers of primes, then c is usually not divisible by large powers of primes.

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Conjetura abc

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conjecture in number theory
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This is the ABC conjecture, and it is supported by a huge quantity of numerical evidence.
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One of the most interesting consequences of the ABC conjecture relates to the Mordell conjecture.
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Yet another potential application of the ABC conjecture is to Brocard’s problem, the first in this chapter.
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Along with Joseph Oesterlé, Masser formulated the abc conjecture in 1985.
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Joseph Oesterlé (born 1954) is a French mathematician who, along with David Masser, formulated the abc conjecture in 1985.
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Joseph Oesterlé (born 1954) is a French mathematician who, along with David Masser, formulated the abc conjecture in 1985.
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ABC Conjecture: Mathematician Shinichi Mochizuki Claims Proof Of Important Number Theory Problemsays Dorian Goldfeld, a mathematician at Columbia University in New York.
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The abc conjecture (also known as the Oesterlé–Masser conjecture) is a conjecture in number theory, first proposed by Joseph Oesterlé (1985) and David Masser (1988).
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The Japanese mathematician Shinichi Mochizuki announced in August 2012 a proof, in more than 500 pages, of the celebrated abc conjecture, whose repercussions in the world of mathematics are enormous, if true.
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In essence, he has created a new world of mathematical objects, and now claims that he understands them well enough to work with them consistently and show that their properties imply the abc conjecture. Es
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On the other hand, other headlines grant an important role to Zheng He, “The Odyssey of the Chinese Columbus” (Abc, 14/08/2005), and give room to the theories and conjectures more openly.
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