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

This Question is Closed

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

sauravshakyaBest ResponseYou've already chosen the best response.0
Nope. Find all possible values.
 one year ago

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

sauravshakyaBest ResponseYou've already chosen the best response.0
when y is even x is odd when y is odd x is even.
 one year ago

ganeshie8Best 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)
 one year ago

ShadowysBest ResponseYou've already chosen the best response.1
Nice! right. there's only one even prime...;lol
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.0
but how can we say when y is even x is odd when y is odd x is even. ?
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.5
i felt this one tough :)
 one year ago

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

shubhamsrgBest ResponseYou've already chosen the best response.0
@sauravshakya how can we say that ?
 one year ago

sauravshakyaBest ResponseYou've already chosen the best response.0
When y is even y^2 is also even and 713 is odd. And odd + even is odd
 one year ago

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

shubhamsrgBest ResponseYou've already chosen the best response.0
hmmm...that was really stupid of me to ask.. nice..
 one year ago
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