3. Prove that if p is a prime >3 then the numerator of 1 + 1/2+1/3+...+V/(p-1) is divisible by p²(Wolstenholme's theorem).
3. Prove that if p is a prime >3 then the numerator of 1 + 1/2+1/3+...+V/(p-1) is divisible by p²(Wolstenholme's theorem).
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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![3. Prove that if p is a prime >3 then the numerator of 1 + 1/2 + 1/3+...+l/( p - 1) is divisible by
p²(Wolstenholme's
theorem).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc86af83d-c04b-4d1f-8f1b-1d87f63f73a5%2Fe8dd5276-fb77-43a2-8db4-81002f462190%2Fkxgb4rf_processed.png&w=3840&q=75)
Transcribed Image Text:3. Prove that if p is a prime >3 then the numerator of 1 + 1/2 + 1/3+...+l/( p - 1) is divisible by
p²(Wolstenholme's
theorem).
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