Fermat's little theorem states that if p is a prime number, then for any integer a, the number a P -a is an integer multiple of p. QUESTION If d|20 then find the sum of (d). O A. 20 B. 19 O C. 22 D. 40
Fermat's little theorem states that if p is a prime number, then for any integer a, the number a P -a is an integer multiple of p. QUESTION If d|20 then find the sum of (d). O A. 20 B. 19 O C. 22 D. 40
Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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![### Fermat's Little Theorem and Its Application
**Fermat's Little Theorem** states that if \( p \) is a prime number, then for any integer \( a \), the number \( a^p - a \) is an integer multiple of \( p \).
### Question
If \( d \) | 20, then find the sum of \( \varphi(d) \).
- A. 20
- B. 19
- C. 22
- D. 40
### Explanation:
In this question, you are asked to determine the sum of Euler's Totient function, \( \varphi \), over all divisors \( d \) of 20.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc8241d13-b770-4dad-946c-6942db4056c7%2F2cba0674-3f49-4efe-8c60-2fa3ced019c6%2Fj8lphgb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Fermat's Little Theorem and Its Application
**Fermat's Little Theorem** states that if \( p \) is a prime number, then for any integer \( a \), the number \( a^p - a \) is an integer multiple of \( p \).
### Question
If \( d \) | 20, then find the sum of \( \varphi(d) \).
- A. 20
- B. 19
- C. 22
- D. 40
### Explanation:
In this question, you are asked to determine the sum of Euler's Totient function, \( \varphi \), over all divisors \( d \) of 20.
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