This post is to showcase some of the interesting patterns generated when we combine two unique numbers
1729 - No introduction required... The Great Ramanujam number
2520 - Lowest number to have all factors from 1 to 10
Now for some interesting patterns
i) To start with 1729 + 2520 = 4249 which is 7 x 607.
ii) Now add 42 and 49 - we get 91 is a factor of 1729
iii) Add the digits of 607 - we get 13. Multiply by 7 and we get 91 again.
iv) Now add the digits of 4249 - we get 19!
v) 19 x 91 gives back 1729!
vi) Now add digits in pairs of 1729 and 2520 - 17 + 29 + 25 + 20 - Voila - it is 91 again!
vii) Now 2520 - 1729 = 791 which is 7 x 113 - Add the digits of 113 - we get 5. Multiply by 7 and we get 35. 35 is the odd factor component of 2520 (35 x 72)
We could go on creating patterns of this nature and there is no end at all but it is beautiful to see how some of the special numbers create further magic when they come together
1729 - No introduction required... The Great Ramanujam number
2520 - Lowest number to have all factors from 1 to 10
Now for some interesting patterns
i) To start with 1729 + 2520 = 4249 which is 7 x 607.
ii) Now add 42 and 49 - we get 91 is a factor of 1729
iii) Add the digits of 607 - we get 13. Multiply by 7 and we get 91 again.
iv) Now add the digits of 4249 - we get 19!
v) 19 x 91 gives back 1729!
vi) Now add digits in pairs of 1729 and 2520 - 17 + 29 + 25 + 20 - Voila - it is 91 again!
vii) Now 2520 - 1729 = 791 which is 7 x 113 - Add the digits of 113 - we get 5. Multiply by 7 and we get 35. 35 is the odd factor component of 2520 (35 x 72)
We could go on creating patterns of this nature and there is no end at all but it is beautiful to see how some of the special numbers create further magic when they come together
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