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September 23, 2014

September 23, 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

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