Consider the prime-power decomposition 5244319080000 = P₁¹ P₁² Pr where p₁
Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Need help with this Intro to Elementary Number Theory homework problem. Make sure your handwriting is neat and readable.
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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