@payel : you have mentioned sum of square of diagonal of rectangle.. but as you can see that 29 can't be the sum of square of diagonal of any rectangle.. because for a rectangle both diagonal would be equal... so sum shoud be 2 * diagonal^2... please explain your que..
On Sun, Jun 3, 2012 at 1:28 AM, Dave <dave_and_da...@juno.com> wrote: > @Payel: Fermat's theorem on the sum of two squares applies. It says that > an odd prime p can be written as the sum of two perfect squares if and only > if p is congruent to 1 (mod 4). See > http://en.wikipedia.org/wiki/Proofs_of_Fermat's_theorem_on_sums_of_two_squares. > > > Thus, since 29 is congruent to 1 (mod 4), it can be written as the sum of > two squares, as you have demonstrated. But, e.g., 7, 11, and 19 cannot be > written as the sum of two perfect squares. > > Code follows: > > int PrimeIsSumOfTwoSquares(int p) > { > return (p & 3) == 1; > } > > Dave > > On Saturday, June 2, 2012 2:31:43 PM UTC-5, payel roy wrote: > >> How do you verify whether sides of rectangular area are integer number If >> square of diagonal of a rectangular area is prime? >> >> Ex : Let's say square of a diagonal is : 2 >> >> 2 = 1^2 + 1^2 [where 1,1 are the sides of the rectangular area] >> >> square of a diagonal is : 29 >> >> 29 = 5^2 + 2^2. >> > -- > You received this message because you are subscribed to the Google Groups > "Algorithm Geeks" group. > To view this discussion on the web visit > https://groups.google.com/d/msg/algogeeks/-/wVxBh-kN-LoJ. > > To post to this group, send email to algogeeks@googlegroups.com. > To unsubscribe from this group, send email to > algogeeks+unsubscr...@googlegroups.com. > For more options, visit this group at > http://groups.google.com/group/algogeeks?hl=en. > -- Thanks and Regards: Rahul Kumar Patle M.Tech, School of Information Technology Indian Institute of Technology, Kharagpur-721302, India Mobile No: +91-8798049298, +91-9424738542 patlerahulku...@gmail.com rahulkumarpa...@yahoo.com -- You received this message because you are subscribed to the Google Groups "Algorithm Geeks" group. To post to this group, send email to algogeeks@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.com. For more options, visit this group at http://groups.google.com/group/algogeeks?hl=en.
