Problem 1:

p := 2952805618185689167821531216582906517396743639685786895936740087

q := 2967106148672896714976538967389656798609839667383562938569372913

Problem 2:

the square root:
70581397872471247095794832389339894686221156115519190675288943015854514765163761026843190370903331712443731146252133516929301023019533977019495280939

the RSA modulus:
84430951238865499020909353487943344221346544745672042351497693944970228955507717870977165479761426208342792911873609616303278926602875406261726942349

the RSA encryption exponent:295728965285627