A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
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.

This Question is Closed

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..
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.