give an example where sum of four fourth powers is a single fourth power (natural values pls)
2006-07-08 20:41:07 · 5 answers · asked by rajesh bhowmick 2 in Science & Mathematics ➔ Mathematics
a^(4)+b^(4)+c^(4)+d^(4)=e^(4)
a,b,c,d & e are natural numbers.
2006-07-08 20:48:39 · update #1
30^4+120^4+272^4+315^4=353^4
240^4+340^4+430^4+599^4=651^4
For many more look at the source link.
2006-07-08 20:57:09 · answer #1 · answered by justforjest 2 · 7⤊ 1⤋
30^4+120^4+272^4+315^4 = 353^4 (R. Norrie, 1911)
Euler conjecture in 1777 that it was impossible to do that with only three forth powers. Only recently it was proven that this was incorrect. Noam Elkies proved in 1986 that:
2682440^4 + 15365639^4 + 18796760^4 = 20615673^4
2006-07-09 04:00:33 · answer #2 · answered by love.wisdom 2 · 0⤊ 0⤋
30^4 + 120^4 + 315^4 + 272^4 = 353^4
2006-07-09 03:56:33 · answer #3 · answered by Anonymous · 0⤊ 0⤋
What is the question really? I cannot understand this....I am a different kind of brainiac, but it is stimulating my other hemisphere......makes me wish I had majoured in math ...as a second language. i am serious. I read 8 books per day.....maybe I will get to it yet......I gave up on trying at math when it was no longer required....*makes mental note to take a summer math course*
2006-07-10 05:14:58 · answer #4 · answered by Anonymous · 0⤊ 0⤋
1 to the 4th, i dont get the question
2006-07-09 03:45:02 · answer #5 · answered by chrisgintexas 3 · 0⤊ 0⤋