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sauravshakya
 2 years ago
Just for fun: x^7 = y^2713
where x and y are prime numbers.
Find all the solution of x and y.
sauravshakya
 2 years ago
Just for fun: x^7 = y^2713 where x and y are prime numbers. Find all the solution of x and y.

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Shadowys
 2 years ago
Best ResponseYou've already chosen the best response.1Is there a range for this? (though I guess not, most of these question have set ansers)

sauravshakya
 2 years ago
Best ResponseYou've already chosen the best response.0Nope. Find all possible values.

Shadowys
 2 years ago
Best ResponseYou've already chosen the best response.1X=2 and Y=29... though I'll want to learn the legitimate mathematical solution...lol

sauravshakya
 2 years ago
Best ResponseYou've already chosen the best response.0when y is even x is odd when y is odd x is even.

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.5\(y = \sqrt{x^7 + 713}\) x, y both are primes, clearly y > 2, so y is odd prime. since 713 is odd, we need x^7 to be even to make sqrt(x^7+713) become an odd number since x is a prime only way x^7 to be even is x=2 so olny 1 solutution (2, 29)

Shadowys
 2 years ago
Best ResponseYou've already chosen the best response.1Nice! right. there's only one even prime...;lol

shubhamsrg
 2 years ago
Best ResponseYou've already chosen the best response.0but how can we say when y is even x is odd when y is odd x is even. ?

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.5i felt this one tough :)

Shadowys
 2 years ago
Best ResponseYou've already chosen the best response.1quote @ganeshie8 : ＇clearly y > 2, so y is odd prime.＇ lol bruteforcing with a program is really stupid come to think of it.

shubhamsrg
 2 years ago
Best ResponseYou've already chosen the best response.0@sauravshakya how can we say that ?

sauravshakya
 2 years ago
Best ResponseYou've already chosen the best response.0When y is even y^2 is also even and 713 is odd. And odd + even is odd

sauravshakya
 2 years ago
Best ResponseYou've already chosen the best response.0When y is odd , y^2 is also odd and 713 is also odd. And 0dd + odd is even.

shubhamsrg
 2 years ago
Best ResponseYou've already chosen the best response.0hmmm...that was really stupid of me to ask.. nice..
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