tag:blogger.com,1999:blog-1050326564532544980.post3184977592835574880..comments2024-03-22T20:09:53.724-04:00Comments on NumberADay: 845Mathematical Association of Americahttp://www.blogger.com/profile/10559021045290192742noreply@blogger.comBlogger1125tag:blogger.com,1999:blog-1050326564532544980.post-17404485085115371352010-08-16T12:14:07.348-04:002010-08-16T12:14:07.348-04:00Other characters of the number 845
845 can be repr...Other characters of the number 845<br />845 can be represented as<br />845=10^2+13^2+24^2=11^2+18^2+20^2<br />845=2^10-179=2^4+829^=2^6+521<br />845 can be represented as Pythagorean triples<br />845^2=325^2+780^2=429^2+728^2<br />845^2=507^2+676^2=595^2+600^2<br />Further partners<br />845=6^2+809=12^2+701=24^2+269=28^2 +61<br />The two cousins that make up the product of 845 are of the form 4k +1, then<br />845 number can be represented as<br />5=(2+i)(2-i)=2^2+1^2=(2+i)(1+2i)(-i)<br />13=(3+2i)(3-2i)=3^2+2^2=(3+2i)(2+3i)(-i), then<br />845=(2+i)(1+2i)[(3+2i)(2+3i)]^2 (i)=5*13^2<br />Rafael Parra MachioAnonymousnoreply@blogger.com