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- Congruent_number abstract "In mathematics, a congruent number is a positive integer that is the area of a right triangle with three rational number sides. A more general definition includes all positive rational numbers with this property.The sequence of integer congruent numbers starts with 5, 6, 7, 13, 14, 15, 20, 21, 22, 23, 24, 28, 29, 30, 31, 34, 37, 38, 39, 41, 45, 46, 47, … (sequence A003273 in OEIS)For example, 5 is a congruent number because it is the area of a 20/3, 3/2, 41/6 triangle. Similarly, 6 is a congruent number because it is the area of a 3,4,5 triangle. 3 is not a congruent number.If q is a congruent number then s2q is also a congruent number for any natural number s (just by multiplying each side of the triangle by s), and vice versa. This leads to the observation that whether a nonzero rational number q is a congruent number depends only on its residue in the group.Every residue class in this group contains exactly one square free integer, and it is common, therefore, only to consider square free positive integers, when speaking about congruent numbers.".
- Congruent_number wikiPageExternalLink congruentnumbers.
- Congruent_number wikiPageExternalLink Aug1998p33-45.pdf.
- Congruent_number wikiPageExternalLink pcmibook.ps.
- Congruent_number wikiPageID "2334769".
- Congruent_number wikiPageRevisionID "599592073".
- Congruent_number hasPhotoCollection Congruent_number.
- Congruent_number subject Category:Arithmetic_problems_of_plane_geometry.
- Congruent_number subject Category:Elliptic_curves.
- Congruent_number subject Category:Number_theory.
- Congruent_number subject Category:Triangle_geometry.
- Congruent_number subject Category:Unsolved_problems_in_mathematics.
- Congruent_number type Abstraction100002137.
- Congruent_number type ArithmeticProblemsOfPlaneGeometry.
- Congruent_number type Attribute100024264.
- Congruent_number type Condition113920835.
- Congruent_number type Curve113867641.
- Congruent_number type Difficulty114408086.
- Congruent_number type EllipticCurves.
- Congruent_number type Line113863771.
- Congruent_number type Problem114410605.
- Congruent_number type Shape100027807.
- Congruent_number type State100024720.
- Congruent_number type UnsolvedProblemsInMathematics.
- Congruent_number comment "In mathematics, a congruent number is a positive integer that is the area of a right triangle with three rational number sides. A more general definition includes all positive rational numbers with this property.The sequence of integer congruent numbers starts with 5, 6, 7, 13, 14, 15, 20, 21, 22, 23, 24, 28, 29, 30, 31, 34, 37, 38, 39, 41, 45, 46, 47, … (sequence A003273 in OEIS)For example, 5 is a congruent number because it is the area of a 20/3, 3/2, 41/6 triangle.".
- Congruent_number label "Congruent getal".
- Congruent_number label "Congruent number".
- Congruent_number label "Kongruente Zahl".
- Congruent_number label "Numero congruente".
- Congruent_number label "Números congruentes".
- Congruent_number label "Конгруэнтное число".
- Congruent_number label "合同数".
- Congruent_number sameAs Kongruente_Zahl.
- Congruent_number sameAs Numero_congruente.
- Congruent_number sameAs 合同数.
- Congruent_number sameAs Congruent_getal.
- Congruent_number sameAs Números_congruentes.
- Congruent_number sameAs m.074kvy.
- Congruent_number sameAs Q325978.
- Congruent_number sameAs Q325978.
- Congruent_number sameAs Congruent_number.
- Congruent_number wasDerivedFrom Congruent_number?oldid=599592073.
- Congruent_number isPrimaryTopicOf Congruent_number.