Difference between revisions of "Parity"
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'''Parity''' refers to whether a number is [[even]] or [[odd]]. | '''Parity''' refers to whether a number is [[even]] or [[odd]]. | ||
| − | While this may seem highly basic, checking the parity of numbers is often an useful tactic for solving problems, especially with [[proof by contradiction]]s and [[casework]]. | + | While this may seem highly basic, checking the parity of numbers is often an useful tactic for solving problems, especially with [[proof by contradiction]]s and [[casework]]. r nb8 99999999999999999998== Problems == |
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| − | == Problems == | ||
=== Introductory === | === Introductory === | ||
*Find <math>\gcd(a+b,a^2+b^2)</math> if <math>\gcd(a,b) = 1</math>. | *Find <math>\gcd(a+b,a^2+b^2)</math> if <math>\gcd(a,b) = 1</math>. | ||
Revision as of 21:55, 3 January 2016
Parity refers to whether a number is even or odd.
While this may seem highly basic, checking the parity of numbers is often an useful tactic for solving problems, especially with proof by contradictions and casework. r nb8 99999999999999999998== Problems ==
Introductory
- Find
if 
.
if 
.Intermediate
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