Prove the following statement: if p and p+2 are twin primes and p > 5, then p³ +3p²-p-3=0 (mod 10). Hint: The product of any k consecutive integers is divisible by k. Alternatively, think what are possible values of p rem 2 and p rem 5.
Prove the following statement: if p and p+2 are twin primes and p > 5, then p³ +3p²-p-3=0 (mod 10). Hint: The product of any k consecutive integers is divisible by k. Alternatively, think what are possible values of p rem 2 and p rem 5.
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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![Prove the following statement: if p and p+2 are twin primes and p > 5, then p³ +3p²-p-3=0 (mod 10).
Hint: The product of any k consecutive integers is divisible by k.
Alternatively, think what are possible values of p rem 2 and p rem 5.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffd183237-95be-4c14-8dbe-6dcd9243d0d5%2Fdf53cde2-2042-48f3-84f5-e466d62a404f%2Flg1r25g_processed.png&w=3840&q=75)
Transcribed Image Text:Prove the following statement: if p and p+2 are twin primes and p > 5, then p³ +3p²-p-3=0 (mod 10).
Hint: The product of any k consecutive integers is divisible by k.
Alternatively, think what are possible values of p rem 2 and p rem 5.
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