In mathematics, in the field of number theory, the Ramanujan–Nagell equation is an equation between a square number and a number that is seven less than...
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his works on the Diophantine equations within number theory Nagell–Lutz theorem, in mathematics Ramanujan–Nagell equation, in mathematics This page lists...
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exponential Diophantine equation. Examples include: the Ramanujan–Nagell equation, 2n − 7 = x2 the equation of the Fermat–Catalan conjecture and Beal's conjecture...
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n\in \{3,4,5,7,15\}} . In honor of Nagell's solution, this equation is called the Ramanujan–Nagell equation. The Nagell–Lutz theorem is a result in the Diophantine...
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The largest triangular number of the form 2k − 1 is 4095 (see Ramanujan–Nagell equation). Wacław Franciszek Sierpiński posed the question as to the existence...
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the equation 2n − D = x2 has more than two solutions for n and x natural. In particular, the equation 2n − 7 = x2 is known as the Ramanujan–Nagell equation...
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identity Ramanujan machine Ramanujan–Nagell equation Ramanujan–Peterssen conjecture Ramanujan–Soldner constant Ramanujan summation Ramanujan theta function...
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the direction of Robert Tijdeman with thesis The generalized Ramanujan–Nagell Equation, published in Acta Arithmetica, vol. 38, 1980/1981. From 1979...
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Catalan's conjecture (category Diophantine equations)
solution (> 0). Beal's conjecture Equation xy = yx Fermat–Catalan conjecture Mordell curve Ramanujan–Nagell equation Størmer's theorem Tijdeman's theorem...
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Richard Rado Ramanujan–Nagell equation See also: List of things named after Srinivasa Ramanujan Mathematics Srinivasa Ramanujan and Trygve Nagell Raoult's...
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the Ramanujan–Nagell equation 2n − 7 = x2 (or equivalently, of finding triangular Mersenne numbers) in 1943, independently of Srinivasa Ramanujan who...
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This is a list of scientific equations named after people (eponymous equations). Contents A B C D E F G H I J K L M N O P R S T V W Y Z See also References...
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Langlands program modularity theorem Pythagorean triple Pell's equation Elliptic curve Nagell–Lutz theorem Mordell–Weil theorem Mazur's torsion theorem Congruent...
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Diophantine equation p2 = 1 + b + b2 + ... + bq-1 with p, q ≥ 3 primes and b >= 2. Norwegian mathematician Trygve Nagell has proved that this equation has only...
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Ramanujam vanishing theorem (algebraic geometry) Ramanujan–Skolem's theorem (Diophantine equations) Ramsey's theorem (graph theory, combinatorics) Rank–nullity...
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equivalent to the sum of 4095 divisors, where 4095 is the largest of five Ramanujan–Nagell numbers that are both triangular numbers and Mersenne numbers of the...
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2307/2318616. JSTOR 2318616. Mead, D. G. (December 1973). "The Equation of Ramanujan-Nagell and [y2]" (PDF). Proceedings of the American Mathematical Society...
11 KB (992 words) - 06:35, 8 April 2024