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Firepanda

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I need to factorise 70 into primes, how do I go about this?

So far I have 2,5,7 as primes in Z.

So I suppose I need to factorise these in Z

So far I have 2,5,7 as primes in Z.

So I suppose I need to factorise these in Z

*?*

2 = (1+i)(1-i)

How do I go around doing the other two, is it possible that they're primes in Z2 = (1+i)(1-i)

How do I go around doing the other two, is it possible that they're primes in Z

*?*

Edit:

I have a corollary where if p is a prime in Z, then p is a prime in ZEdit:

I have a corollary where if p is a prime in Z, then p is a prime in Z

*if p = 3 mod 4*

So 7 stays prime in ZSo 7 stays prime in Z

*.*

Also I have that if the norms of elements in ZAlso I have that if the norms of elements in Z

*are congruent to 1 mod 4 and prime in Z, then the elements in Z**are prime, so*

5 = (2+1)(2-i) = 1 mod 4

so 70 = 7*(2+1)(2-i)*(1+i)(1-i)

Correct?

Thanks5 = (2+1)(2-i) = 1 mod 4

so 70 = 7*(2+1)(2-i)*(1+i)(1-i)

Correct?

Thanks

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