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Oct 29th, 2002, 08:11 PM
#1
Thread Starter
Fanatic Member
algebra brain teaser
1^3+12^3=9^3+10^3
9^3+15^3=2^3+16^3
9^3+34^3=16^3+33^3
10^3+27^3=19^3+24^3
here are four given equations where a^3+b^3=c^3+d^3
where a,b,c,d are positive integers gcd(a,b,c,d) is 1 (greatest common factor)
find another equation (such that a^3+b^3<640000
obviously writing a program to do that is disallowed.
Massey RuleZ! ^-^__  Cheers!  __^-^ Massey RuleZ!
Did you know that...
The probability that a random rational number has an even denominator is 1/3 (Salamin and Gosper 1972)? This result is independently verified by me (2002)!
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