Thursday, April 10, 2008

ರಾಮಾನುಜಂ ನಂಬರ್

ನಿಮಗೆ ರಾಮಾನುಜಂ ನಂಬರ್ ಅಂದ್ರೆ ಏನು ಗೊತ್ತೆ?
Its a number (N) which is possible to get by taking the sum of cubes of two numbers in two different way.
For example : ( Read A3 as A cube)
A3 + B3 =N ( A to the power 3 + B to the power 3=N)
C3 + D3 = N ( C to the power 3 + D to the power 3=N)
Here we can get number N by adding cubes (to the power 3) of two numbers and in two different way...
The first Ramanujam number is 1729.
So
12 (3) + 1 (3) =1729 ( 12 to the power 3+ 1 to the power 3=1729)
Also we can get same by
10 (3) + 9 (3) =1729 ( 10 to the power 3+ 9 to the power 3=1729)

This is found by Ramanujam so called as Ramanujam number.
Can you find next Ramanujam nymber. If so please let me know the number...

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