An integer M is called B-power-smooth if every prime power pe dividing M satisfies pe ≤ B. For example, 180 = 22 · 32 · 5 is 10-power-smooth, since the largest prime power dividing 180 is 9, which is smaller than 10. (c) The following is a list of 20 randomly chosen numbers between 1 and 1000, sorted from smallest to largest. Which of these numbers are 10-power-smooth? Which of them are 10-smooth? {84, 141, 171, 208, 224, 318, 325, 366, 378, 390, 420, 440, 504, 530, 707, 726, 758, 765, 792, 817}

An integer M is called B-power-smooth if every prime power pe dividing M satisfies pe ≤ B. For example, 180 = 22 · 32 · 5 is 10-power-smooth, since the largest prime power dividing 180 is 9, which is smaller than 10. (c) The following is a list of 20 randomly chosen numbers between 1 and 1000, sorted from smallest to largest. Which of these numbers are 10-power-smooth? Which of them are 10-smooth? {84, 141, 171, 208, 224, 318, 325, 366, 378, 390, 420, 440, 504, 530, 707, 726, 758, 765, 792, 817}

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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