   # There exists a number, 102400...002401, where the 0's occur 2014 times. Is this number prime or composite?

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There exists a number, 102400...002401, where the 0's occur 2014 times. Is this number prime or composite? posted Aug 25, 2018
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## 1 Answer

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This is composite number

102400...002401=102400...00*10^4+2401=1024*10^(2012+4)+2401=4*256*10^2016+2401=4*(4*10^504)^4+7^4
4a^4+b^4 is a composite number equal to (2a^2+2ab+b^2)*(2a^2-2ab+b^2) answer Aug 25, 2018

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