2. If p > q > 5 and P and q are both primes, prove that 24 p - q² |
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F048faa6b-a100-4249-8bc6-0274c2c51311%2Fc47a290e-8a6c-4433-ab17-7bf88279784b%2F87wi4q_processed.jpeg&w=3840&q=75)
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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