Write 375007 as a product of two primes. No calculators please.

Question

ganeshie8 · Answer

freckles · Answer

i'm ready for a hint if everyone else is ready for it

anonymous · Answer

Just an interesting observation, there's a nice symmetry to the number when you convert it to base 7.

$375007_{10}=3121213_7$

freckles · Answer

http://openstudy.com/users/freckles#/updates/54a9a050e4b054f0c3ba5a87 I was talking about a similar symmetry the other day but closed it because it might have not been as fascinating as I thought it was :p But this symmetry is a little different and it has an odd amount of digits

freckles · Answer

$$3(7^6+1)+1(7^5+7^3+7)+2(7^4+7^2) \ 3(7^6+1)+7(7^4+7^2+1)+2(7^2)(7^2+1)$$
it would be cool if we could somehow play with that

freckles · Answer

$$3(7^2+1)(7^4+7^2+1)+7(7^4+7^2+1)+2(7^2)(7^2+1) \ (7^4+7^2+1)(3(7^2+1)+7)+2(7^2)(7^2+1)$$

anonymous · Answer

hmm i dint see this