Monday

December 22, 2014

December 22, 2014

Posted by **Sarah** on Wednesday, May 15, 2013 at 10:51pm.

- Algebra -
**Reiny**, Thursday, May 16, 2013 at 7:55am5^8 + 2^2

= 25^4 + 2^2

= 625^2 + 2^2

= (625 + 2)^2 - 2(2)(625)

= 627^2 - (2(25))^2 . a difference of squares

= 627^2 - 50^2

= (627 + 50)(627-50)

= 677(577)

both of these are primes, so the largest prime factor is 677

check:

5^8 + 2^2 = 390629 and 390629/677 = 577

**Answer this Question**

**Related Questions**

Math - Find the smallest prime number N such that the following is true: The ...

mathematics - Find the smallest prime number N such that the following is true: ...

Algebra Please Help - What is the largest prime factor of 5^8+2^2?

Math - In the number 22! determine the largest prime factor.

MATH, ALGEBRA - CAN SOMEONE CORRECT THIS: lIST ALL THE FACTORS OF 16? mY ANSWER...

algebra - Use the discriminant to find out whether this quadratic polynomial can...

Algebra - Explain why x^2 + 5x + 8 is prime (not factorable). How do you know? ...

Algebra - Explain why x^2 +5x + 8 is prime(not factorable) How do you know? Give...

Math(Please check answers) - Factor completely. If the polynomial cannot be ...

math,algebra - Can someone explain this to me plese: to factor a number you.... ...