Problem 45767. Prime number check (★★)

Created by Anirban Pal

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?><w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>One way to see if a number x is prime is to compute the remainders obtained when dividing x by all integers from 2 to √(x). If x is prime, then all remainders will be non-zero.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>For example, if x = 35 then √(x)=5.916, and the set of divisors from 2 to √(x) are [2 3 4 5]. The remainders obtained when dividing 35 by 2,3,4,5 are 1,2,3,0 respectively. Since one of the remainders is 0, the number x is not prime.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Write a function that will compute the remainders obtained when dividing x by all integers from 2 to √(x).</w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

Solve

Solution Stats

21 Solutions
14 Solvers

Last Solution submitted on Aug 15, 2020

Last 200 Solutions

Problem Recent Solvers14

Problem Tags

division remainder

Problem 45767. Prime number check (★★)

Solution Stats

Last 200 Solutions

Problem Recent Solvers14

Suggested Problems

More from this Author41

Problem Tags

Problem 45767. Prime number check (★★)

Solution Stats

Last 200 Solutions

Problem Recent Solvers14

Suggested Problems

More from this Author41

Problem Tags

Players