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Number Theory

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Articles 91 - 120 of 122

Full-Text Articles in Mathematics

Problematis Cuiusdam Diophantei Evolutio, Leonhard Euler Dec 1772

Problematis Cuiusdam Diophantei Evolutio, Leonhard Euler

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No abstract provided.


Novae Demonstrationes Circa Resolutionem Numerorum In Quadrata, Leonhard Euler Dec 1772

Novae Demonstrationes Circa Resolutionem Numerorum In Quadrata, Leonhard Euler

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No abstract provided.


Solutio Problematis, Quo Duo Quaeruntur Numeri, Quorum Productum Tam Summa Quam Differentia Eorum Sive Auctum Sive Minutum Fiat Quadratum, Leonhard Euler Dec 1770

Solutio Problematis, Quo Duo Quaeruntur Numeri, Quorum Productum Tam Summa Quam Differentia Eorum Sive Auctum Sive Minutum Fiat Quadratum, Leonhard Euler

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No abstract provided.


De Partitione Numerorum In Partes Tam Numero Quam Specie Datas, Leonhard Euler Dec 1769

De Partitione Numerorum In Partes Tam Numero Quam Specie Datas, Leonhard Euler

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No abstract provided.


Quomodo Numeri Praemagni Sint Explorandi, Utrum Sint Primi Necne, Leonhard Euler Dec 1768

Quomodo Numeri Praemagni Sint Explorandi, Utrum Sint Primi Necne, Leonhard Euler

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No abstract provided.


De Usu Novi Algorithmi In Problemate Pelliano Solvendo, Leonhard Euler Dec 1766

De Usu Novi Algorithmi In Problemate Pelliano Solvendo, Leonhard Euler

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No abstract provided.


De Resolutione Formularum Quadricarum Indeterminatarum Per Numeros Integros, Leonhard Euler Dec 1763

De Resolutione Formularum Quadricarum Indeterminatarum Per Numeros Integros, Leonhard Euler

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No abstract provided.


De Numeris Primis Valde Magnis, Leonhard Euler Dec 1763

De Numeris Primis Valde Magnis, Leonhard Euler

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No abstract provided.


Supplementum Quorundam Theorematum Arithmeticorum, Quae In Nonnullis Demonstrationibus Supponuntur, Leonhard Euler Dec 1762

Supplementum Quorundam Theorematum Arithmeticorum, Quae In Nonnullis Demonstrationibus Supponuntur, Leonhard Euler

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No abstract provided.


Solutio Problematis De Investigatione Trium Numerorum, Quorum Tam Summa Quam Productum Nec Non Summa Productorum Ex Binis Sint Numeri Quadrati, Leonhard Euler Dec 1762

Solutio Problematis De Investigatione Trium Numerorum, Quorum Tam Summa Quam Productum Nec Non Summa Productorum Ex Binis Sint Numeri Quadrati, Leonhard Euler

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No abstract provided.


Solutio Generalis Quorundam Problematum Diophanteorum, Quae Vulgo Nonnisi Solutiones Speciales Admittere Videntur, Leonhard Euler Dec 1760

Solutio Generalis Quorundam Problematum Diophanteorum, Quae Vulgo Nonnisi Solutiones Speciales Admittere Videntur, Leonhard Euler

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No abstract provided.


De Problemativus Indeterminatis, Quae Videntur Plus Quam Determinata, Leonhard Euler Dec 1760

De Problemativus Indeterminatis, Quae Videntur Plus Quam Determinata, Leonhard Euler

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No abstract provided.


Specimen De Usu Observationum In Mathesi Pura, Leonhard Euler Dec 1760

Specimen De Usu Observationum In Mathesi Pura, Leonhard Euler

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No abstract provided.


Theoremata Circa Residua Ex Divisione Potestatum Relicta, Leonhard Euler Dec 1760

Theoremata Circa Residua Ex Divisione Potestatum Relicta, Leonhard Euler

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No abstract provided.


Demonstratio Theorematis Circa Ordinem In Summis Divisorum Observatum, Leonhard Euler Dec 1759

Demonstratio Theorematis Circa Ordinem In Summis Divisorum Observatum, Leonhard Euler

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No abstract provided.


Demonstratio Theorematis Fermatiani Omnem Numerum Primum Formae 4N+1 Esse Summam Duorum Quadratorum, Leonhard Euler Dec 1759

Demonstratio Theorematis Fermatiani Omnem Numerum Primum Formae 4N+1 Esse Summam Duorum Quadratorum, Leonhard Euler

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No abstract provided.


Observatio De Summis Divisorum, Leonhard Euler Dec 1759

Observatio De Summis Divisorum, Leonhard Euler

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No abstract provided.


Demonstratio Theorematis Fermatiani Omnem Numerum Sive Integrum Sive Fractum Esse Summam Quatuor Pauciorumve Quadratorum, Leonhard Euler Dec 1759

Demonstratio Theorematis Fermatiani Omnem Numerum Sive Integrum Sive Fractum Esse Summam Quatuor Pauciorumve Quadratorum, Leonhard Euler

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No abstract provided.


De Numeris, Qui Sunt Aggregata Duorum Quadratorum, Leonhard Euler Dec 1757

De Numeris, Qui Sunt Aggregata Duorum Quadratorum, Leonhard Euler

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No abstract provided.


De Partitione Numerorum, Leonhard Euler Dec 1752

De Partitione Numerorum, Leonhard Euler

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No abstract provided.


Observationes Analyticae Variae De Combinationibus, Leonhard Euler Dec 1750

Observationes Analyticae Variae De Combinationibus, Leonhard Euler

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No abstract provided.


Solutio Problematis Difficillimi A Fermatio Propositi, Leonhard Euler Dec 1750

Solutio Problematis Difficillimi A Fermatio Propositi, Leonhard Euler

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No abstract provided.


Découverte D'Une Loi Tout Extraordinaire Des Nombres Par Rapport À La Somme De Leurs Diviseurs, Leonhard Euler Dec 1750

Découverte D'Une Loi Tout Extraordinaire Des Nombres Par Rapport À La Somme De Leurs Diviseurs, Leonhard Euler

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No abstract provided.


Theoremata Circa Divisores Numerorum In Hac Forma Paa&Pm;Qbb Contentorum, Leonhard Euler Dec 1750

Theoremata Circa Divisores Numerorum In Hac Forma Paa&Pm;Qbb Contentorum, Leonhard Euler

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No abstract provided.


Theoremata Circa Divisores Numerorum, Leonhard Euler Dec 1749

Theoremata Circa Divisores Numerorum, Leonhard Euler

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No abstract provided.


De Numeris Amicabilibus, Leonhard Euler Dec 1749

De Numeris Amicabilibus, Leonhard Euler

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No abstract provided.


Theorematum Quorundam Arithmeticorum Demonstrationes, Leonhard Euler Dec 1746

Theorematum Quorundam Arithmeticorum Demonstrationes, Leonhard Euler

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No abstract provided.


De Numeris Amicabilibus, Leonhard Euler Dec 1746

De Numeris Amicabilibus, Leonhard Euler

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No abstract provided.


Theorematum Quorundam Ad Numeros Primos Spectantium Demonstratio, Leonhard Euler Dec 1740

Theorematum Quorundam Ad Numeros Primos Spectantium Demonstratio, Leonhard Euler

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No abstract provided.


Solutio Problematis Arithmetici De Inveniendo Numero, Qui Per Datos Numeros Divisus Relinquat Data Residua, Leonhard Euler Dec 1739

Solutio Problematis Arithmetici De Inveniendo Numero, Qui Per Datos Numeros Divisus Relinquat Data Residua, Leonhard Euler

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Euler proves the Chinese Remainder Theorem by constructing an algorithm to find the smallest number which, divided by given numbers, leaves given remainders. He begins by solving the case in which two relatively prime divisors with corresponding remainders are given and proposes that by repeating his algorithm, he can solve similar problems with any number of constraints. Euler then discusses scenarios in which divisors are not relatively prime, and ends the paper with an application of his algorithm to a classic problem: dating events in Roman indictions.