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t1one2017
@t1one2017
August 2021
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Подходы к решению задач о делимости суммы степеней на некоторое число. Доказательство делимости: 1) 16^5+2^15 на 33; 2) 333^555+555^333 на 37
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skyne8
Verified answer
1) =(2^4)^5+2^15=2^20+2^15=(2^15)(2^5 +1)=(2^15)(32+1)=33*2^15
2) =(37*9)^555 +(37*15)^333 = (37^333)(9^222 +15^333)
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Verified answer
1) =(2^4)^5+2^15=2^20+2^15=(2^15)(2^5 +1)=(2^15)(32+1)=33*2^152) =(37*9)^555 +(37*15)^333 = (37^333)(9^222 +15^333)