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VP_Help
 Post subject: arithmetic p. 98 #82
PostPosted: Thu Sep 30, 2010 5:59 pm 
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x = 2*4*6* .... 48* 50

x = 2*1 * 2*2 * 2*3 * .... 2*24 * 2*25

x = (2^25)*1*2*3 * ... 24*25

so all numbers from 2 to 25 are factors of x, so they will not be factors of x+1

therefore, the smallest prime factor of x + 1 must be > 25

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flupis
 Post subject: Re: arithmetic p. 98 #82
PostPosted: Fri Oct 14, 2011 3:53 am 
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Joined: Fri Oct 14, 2011 3:29 am
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VP_Help wrote:
x = 2*4*6* .... 48* 50

x = 2*1 * 2*2 * 2*3 * .... 2*24 * 2*25

x = (2^25)*1*2*3 * ... 24*25

so all numbers from 2 to 25 are factors of x, so they will not be factors of x+1

therefore, the smallest prime factor of x + 1 must be > 25

-- Veritas Help


VH,

just to make sure I understood the point, given that all factors of x can't be factors of x + 1. If the question asked "what is the smalles FACTOR of x + 1" the answer would still be > 25, right?
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VP_Help
 Post subject: Re: arithmetic p. 98 #82
PostPosted: Mon Oct 31, 2011 8:23 am 
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Yes, that is correct.

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