<s>[INST] Prove that $2^{10}+5^{12}$ is composite 
Prove that $2^{10}+5^{12}$ is composite

I need to solve this using only high school mathematics.
Any ideas?
 [/INST] $2^{10}+5^{12}=(2^5)^2+(5^6)^2$ $=(2^5+5^6)^2 - 2\cdot2^5\cdot5^6$ $=(2^5+5^6)^2 - (2\cdot5)^6$ $=(2^5+5^6)^2 - (10^3)^2$ $=(2^5+5^6 - 10^3)(2^5+5^6 + 10^3)$ $=(15657 - 1000)(15657 + 1000)$ $=14657\times 16657$.
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