Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Need help with this Intro to Elementary Number Theory homework problem. Make sure your handwriting is neat and readable.

 

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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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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