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2. If p > q > 5 and P and q are both primes, prove that 24 p - q² |

2. If p > q > 5 and P and q are both primes, prove that 24 p - q² |

Advanced Engineering Mathematics
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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Due Monday by 11:59pm Points 70 Submitting a file upload 1. A positive integer n is called square-full, or powerful, if P2 n for every pr a b3, with c If n is square-full, show that it can be written in the form n = integers. 2. If p > q > 5 and p and q are both primes, prove that 24 p-q. | 3. Let Pn be nth prime. Prove that the sum P1 +. P2 is never an Pn ... 4. If both p and p + 8 are prime numbers then show that p + 4 is also prit 5. A palindrome is a number that reads the same backwards as forwards. Prove palindrome with even number of digits are divisible by 11. 6. Problema 2.4: 5, 7
Transcribed Image Text:Due Monday by 11:59pm Points 70 Submitting a file upload 1. A positive integer n is called square-full, or powerful, if P2 n for every pr a b3, with c If n is square-full, show that it can be written in the form n = integers. 2. If p > q > 5 and p and q are both primes, prove that 24 p-q. | 3. Let Pn be nth prime. Prove that the sum P1 +. P2 is never an Pn ... 4. If both p and p + 8 are prime numbers then show that p + 4 is also prit 5. A palindrome is a number that reads the same backwards as forwards. Prove palindrome with even number of digits are divisible by 11. 6. Problema 2.4: 5, 7
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