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Znám's problem

In number theory, Znám's problem asks which sets of integers have the property that each integer in the set is a proper divisor of the product of the other integers in the set, plus 1. Znám's problem is named after the Slovak mathematician Štefan Znám, who suggested it in 1972, although other mathematicians had considered similar problems around the same…

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Number of solutions

1896ConjecturedPrimePrimary pseudoperfect number
5 related topics

Connection to Egyptian fractions

ConverselyUnit fractionsSingularitiesNondeterministic finite automata
4 related topics

Examples

Integer sequenceSequenceOEIS
3 related topics

Overview

Number theorySetsIntegersProper divisorŠtefan Znám
10 related topics

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Examples

Connection to Egyptian fractions

Number of solutions

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Znám's problem

Nodes27
Edges26
Triples37
Avg. degree1.93
Density0.074074
Components1

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Znám's problem

Top relations

related to Number of solutions · 10
Znám's problem → Cao, However, Jing, Presently, Sun, Sun's, Sylvester's, The, Znám, Znám's
related to Origin · 9
Znám's problem → Barbeau, Earlier, Janák, Mordell, Skula, Slovak, Then, Znám, Znám's
related to The problem · 7
Znám's problem → Any, Bigl, Bigr, That, This, Znám, Znám's
related to Examples · 6
Znám's problem → Stopping, Sylvester's, The, Thus, Znám, Znám's
related to External links · 5
Znám's problem → CS1, Eric, MathWorld, PrimeFan, Solutions

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Important terminology

problem displaystyle znám's znám solutions solution one proper product sequence number set plus divisor improper integer sylvester's sets integers showed

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Znám's problemrelated to ExamplesSylvester's0.60section
Znám's problemrelated to ExamplesThe0.60section
Znám's problemrelated to ExamplesStopping0.60section
Znám's problemrelated to ExamplesZnám's0.60section
Znám's problemrelated to ExamplesThus0.60section
Znám's problemrelated to ExamplesZnám0.60section
Znám's problemrelated to External linksPrimeFan0.60section
Znám's problemrelated to External linksSolutions0.60section
Znám's problemrelated to External linksEric0.60section
Znám's problemrelated to External linksMathWorld0.60section
Znám's problemrelated to External linksCS10.60section
Znám's problemrelated to Number of solutionsThe0.60section

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