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Another Euler Question.

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mc3003
 Post subject: Another Euler Question.
 Post Posted: Fri Aug 26, 2011 11:50 pm 
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Find out whether 2222 to the power of 5555 + 5555 to the power of 2222 is a prime number or not. Explain your answer.
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mithunsam
 Post subject: Re: Another Euler Question.
 Post Posted: Sat Aug 27, 2011 10:25 pm 
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This question can be solved in many ways. One simple way is to figure out whether we could take any common factor out.

2222^5555 + 5555^2222 = (2*1111)^5555 + (5*1111)^2222
= (2^5555 * 1111^5555) + (5^2222 * 1111^2222)
= 1111^2222(2^5555 * 1111^3333 + 5^2222) => Not a prime
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jnelson0612
 Post subject: Re: Another Euler Question.
 Post Posted: Wed Sep 28, 2011 4:49 pm 
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Posts: 1857
Again, mithunsam rocks the house. :-)

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