Consider the prime-power decomposition 5244319080000 = P₁¹ P₁² Pr where p₁

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 25E
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Consider the prime-power decomposition
5244319080000 = p₁¹ p²₂² ·
Pn
where p₁ < P2 < P3 < ··· < Pn are the first n consecutive primes and e₁, €2, ..., en are nonnegative integers. Find the exponent of the prime p2, i.e., compute e2.
Transcribed Image Text:Consider the prime-power decomposition 5244319080000 = p₁¹ p²₂² · Pn where p₁ < P2 < P3 < ··· < Pn are the first n consecutive primes and e₁, €2, ..., en are nonnegative integers. Find the exponent of the prime p2, i.e., compute e2.
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