PwndBYNumbTheory
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Let H be the set of all Positive integers of the from 4k+1
a) Show that H is closed under multiplication
*Hilbert prime* is a number in this set that has no factors in H
b) show that every number in H has a factorization of Hilbert primes.
C)Show H does NOT have unique factorization by finding two different factorizations of 693 into Hilbert primes.
extra)Is there a smaller number for which the unique factorization fails (smaller than 693 that is)
THANK YOU FOR ALL YOUR HELP!!
Let H be the set of all Positive integers of the from 4k+1
a) Show that H is closed under multiplication
*Hilbert prime* is a number in this set that has no factors in H
b) show that every number in H has a factorization of Hilbert primes.
C)Show H does NOT have unique factorization by finding two different factorizations of 693 into Hilbert primes.
extra)Is there a smaller number for which the unique factorization fails (smaller than 693 that is)
THANK YOU FOR ALL YOUR HELP!!
oops... i didnt mean to ask twice
a) Show that H is closed under multiplication
*Hilbert prime* is a number in this set that has no factors in H
b) show that every number in H has a factorization of Hilbert primes.
C)Show H does NOT have unique factorization by finding two different factorizations of 693 into Hilbert primes.
extra)Is there a smaller number for which the unique factorization fails (smaller than 693 that is)
THANK YOU FOR ALL YOUR HELP!!
Let H be the set of all Positive integers of the from 4k+1
a) Show that H is closed under multiplication
*Hilbert prime* is a number in this set that has no factors in H
b) show that every number in H has a factorization of Hilbert primes.
C)Show H does NOT have unique factorization by finding two different factorizations of 693 into Hilbert primes.
extra)Is there a smaller number for which the unique factorization fails (smaller than 693 that is)
THANK YOU FOR ALL YOUR HELP!!
oops... i didnt mean to ask twice