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Brocard's problem

Brocard's problem is a problem in mathematics that seeks integer values of n {\displaystyle n} such that n ! + 1 {\displaystyle n!+1} is a perfect square, where n ! {\displaystyle n!} is the factorial. Only three values of n {\displaystyle n} are known — 4, 5, 7 — and it is not known whether there are any more. Though research has extended far beyond n >…

Brown numbers, Connection to the abc conjecture & Overview

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Brown numbers

Clifford A. PickoverPaul Erdős
2 related topics

Connection to the abc conjecture

Abc conjecture
1 related topics

Overview

MathematicsIntegerFactorialHenri BrocardSrinivasa Ramanujan
5 related topics

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Overview

Brown numbers

Connection to the abc conjecture

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Brocard's problem

Nodes12
Edges11
Triples18
Avg. degree1.83
Density0.166667
Components1

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Brocard's problem

Top relations

related to Brown numbers · 10
Brocard's problem → As, Brocard's, Brown, Clifford, Infinity, Kevin, Keys, October, Pairs, Pickover
related to External links · 8
Brocard's problem → Brady Haran, Brown Numbers, Copeland, Ed, Eric, MathWorld, Numberphile, Weisstein

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Important terminology

displaystyle brown problem numbers solutions known integer brocard's pairs seeks values abc conjecture factorial finitely many three equation ramanujan mathematics

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Brocard's problemrelated to Brown numbersPairs0.60section
Brocard's problemrelated to Brown numbersBrocard's0.60section
Brocard's problemrelated to Brown numbersBrown0.60section
Brocard's problemrelated to Brown numbersClifford0.60section
Brocard's problemrelated to Brown numbersPickover0.60section
Brocard's problemrelated to Brown numbersKeys0.60section
Brocard's problemrelated to Brown numbersInfinity0.60section
Brocard's problemrelated to Brown numbersKevin0.60section
Brocard's problemrelated to Brown numbersAs0.60section
Brocard's problemrelated to Brown numbersOctober0.60section
Brocard's problemrelated to External linksWeisstein0.60section
Brocard's problemrelated to External linksEric0.60section

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