Solved: Prove-numbers have same remainder if divided by nineteen, Basic Statistics

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Prove-numbers have same remainder if divided by nineteen

There are 1000 natural numbers a₁, a₂,...., a1000. Prove that of the numbers 3^a₁, 3^a₂,...., 3^{a₁₀₀₀}, there must be 56 of them which have the same remainder when divided by 19.
(Hint: this is not a misprint. If the best you can do is prove the statement with 56 replaced by 53, then you're missing something.)

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Basic Statistics: Prove-numbers have same remainder if divided by nineteen

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Solution Preview :

Prepared by a verified Expert

Basic Statistics: Prove-numbers have same remainder if divided by nineteen

Reference No:- TGS0695948

Have a Question? (oR Write a Review)

Recent Questions Asked Basic Statistics

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Solution Preview :

Prepared by a verified Expert

Basic Statistics: Prove-numbers have same remainder if divided by nineteen

Reference No:- TGS0695948

Recent Questions Asked Basic Statistics

Q : Difference between the budgeted and actual wage rate

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Q : Prove-numbers have same remainder if divided by nineteen

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Q : Prove for positive integer number written as sum of terms

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