Question

given x4+4x4 is prime number. find the sum of x and y. where x and y are positive integers​

Answer 1

The correct data is,

Given x4+4y4 is prime number. Find the sum of x and y. where x and y are positive integers​

Given:

x4+4y4 is a prime number.

To find:

Find the sum of x and y. where x and y are positive integers​.

Solution:

From given, we have,

x^4 + 4y^4 is a prime number.

The condition for a number to be prime is that, the number should be divisible by itself and 1.

So we have,

x^4 + 4y^4

The value of x and y should be such that, the resultant should be divisible by one and itself.

So, we have,

Given, x and y are integers and we cannot use fractional values for x and y.

when x = 1 and y = 1, we get,

= (1)^4 + 4(1)^4

= 1 + 4

= 5

5 is divisible by 1 and itself, condition is satisfied.

So, we have,

x = y = 1

The sum of x and y is 1 + 1 = 2