Question

Prove that 2^10+5^12 is a composite number.​

Answer 1

Step-by-step explanation:

10+512=(53)4+4(22)4=1254+4⋅44

And then the result follows from Sophie Germain's identity, ie,

a4+4b4=(a2+2ab+2b2)(a2−2ab+2b2)

Yielding,

210+512=(56+103+25)(56−103+25)=16657⋅14657

hope this helps

xoxo