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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 92E
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Number 2 please
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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