Răspuns:
b) n=2^2011-2^2010-2^2009-2^2008=2^2008(2^3-2^2-2^1-2^0)=
=2^2008(8-4-2-1)=2^2008*1=2^2008=(2^1004)^2 - este p.p.
c) n=3^23*4^23-2^21*6^23=3^23*(2^2)^23-2^21*(2*3)^23=
=3^23*2^46-2^21*2^23*3^23=3^23*2^46-2^44*3^23=
=3^23*2^44(1*2^2-1)=3^23*2^44*3=3^24*2^44=(3^12*2^22)^2 - este p.p.
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Răspuns:
b) n=2^2011-2^2010-2^2009-2^2008=2^2008(2^3-2^2-2^1-2^0)=
=2^2008(8-4-2-1)=2^2008*1=2^2008=(2^1004)^2 - este p.p.
c) n=3^23*4^23-2^21*6^23=3^23*(2^2)^23-2^21*(2*3)^23=
=3^23*2^46-2^21*2^23*3^23=3^23*2^46-2^44*3^23=
=3^23*2^44(1*2^2-1)=3^23*2^44*3=3^24*2^44=(3^12*2^22)^2 - este p.p.