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- Znám's_problem abstract "In number theory, Znám's problem asks which sets of k 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 time. One closely related problem drops the assumption of properness of the divisor, and will be called the improper Znám problem hereafter.One solution to the improper Znám problem is easily provided for any k: the first k terms of Sylvester's sequence have the required property. Sun (1983) showed that there is at least one solution to the (proper) Znám problem for each k ≥ 5. Sun's solution is based on a recurrence similar to that for Sylvester's sequence, but with a different set of initial values.The Znám problem is closely related to Egyptian fractions. It is known that there are only finitely many solutions for any fixed k. It is unknown whether there are any solutions to Znám's problem using only odd numbers, and there remain several other open questions.".
- Znám's_problem thumbnail Znam-2-3-11-23-31.svg?width=300.
- Znám's_problem wikiPageID "1452979".
- Znám's_problem wikiPageRevisionID "542556069".
- Znám's_problem title "Znám's Problem".
- Znám's_problem urlname "ZnamsProblem".
- Znám's_problem subject Category:Egyptian_fractions.
- Znám's_problem subject Category:Integer_sequences.
- Znám's_problem subject Category:Mathematical_problems.
- Znám's_problem subject Category:Number_theory.
- Znám's_problem comment "In number theory, Znám's problem asks which sets of k 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 time.".
- Znám's_problem label "Problema de Znám".
- Znám's_problem label "Znám's problem".
- Znám's_problem sameAs Zn%C3%A1m's_problem.
- Znám's_problem sameAs Problema_de_Znám.
- Znám's_problem sameAs Q649322.
- Znám's_problem sameAs Q649322.
- Znám's_problem wasDerivedFrom Znám's_problem?oldid=542556069.
- Znám's_problem depiction Znam-2-3-11-23-31.svg.
