Find the largest prime factor of 91!+90!+89!
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Findthelargestprimefactorof91!+90!+89!Findthelargestprimefactorof91!+90!+89!Findthelargestprimefacto
Find the largest prime factor of 91!+90!+89!
Find the largest prime factor of 91!+90!+89!
Find the largest prime factor of 91!+90!+89!
91!+90!+89!
=89!(91*90+90+1)
=89!*91^2
因此最大质因数是89
91!+90!+89!
=91*90*89!+90*89!+89!
=89!(90*91+91)
=91^2*89!
91=7*13
89为质数
所以最大质因数是89
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