(1)
13^2 = 169 ........................ 31^2 = 961
102^2 = 10404 ................. 201^2 = 40401
103^2 = 10609 ................. 301^2 = 90601
112^2 = 12544 ................. 211^2 = 44521
113^2 = 12769 ................. 311^2 = 96721
1012^2 = 1024144 ........... 2101^2 = 4414201
1112^2 = 1236544 ........... 2111^2 = 4456321
1212^2 = 1468944 ........... 2121^2 = 4498641
2012^2 = 4048144 ........... 2102^2 = 4418404
(2)
21^2 - 12^2 = 441 - 144 = 297
31^2 - 13^2 = 961 - 169 = 792
Could find other examples?
(3)
If x and y are mirror numbers and their product x * y = 53703
then x= 153 and y = 531
How do you go about it to find these two numbers?
Notice that
The factors of 53703 are:
1 3 9 13 17 27 39 51 81 117 153 221 243 351 459 663 1053 1377 1989 3159 4131
5967 17901 53703
The prime factors are: 3 * 3 * 3 * 3 * 3 * 13 * 17
This comment has been removed by the author.
ReplyDeleteI just noticed something else.
ReplyDelete13^2 = 169
take the square of the sum of the digits on the left and the answer is the sum of the digits on the other side.
(1+3)^2 = 1+6+9
(1+2)^2 = 1+4+4
works for all of them!
2012^2 = 4048144
(2+0+1+2)^2 = 4+0+4+8+1+4+4
q.e.d.
what is the logic
ReplyDeleteNice concept
ReplyDeleteWhat is special in 31,13 &113,311 is that they are all prime & mirror numbers.
ReplyDeleteIn Bible Genesis chapter1 consist of 31 items It talks about the beginning of human creation
In Great Quran chapter name it the human consist of 31 verses It talks about the human creation too
#code_31