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Suppose that p is a prime integer greater than 1468. What is the largest possible value of (p, 1468!)?

Suppose that p is a prime integer greater than 1468. What is the largest possible value of (p, 1468!)?

Advanced Engineering Mathematics
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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Need help with these two Intro to Elementary Number Theory homework problems. Make sure your handwriting is neat and readable.

 

 

Suppose that p is a prime integer greater than 1468. What is the largest possible value of (p, 1468!)?
Transcribed Image Text:Suppose that p is a prime integer greater than 1468. What is the largest possible value of (p, 1468!)?
Suppose k that n, k are positive integers, both greater than 1 such that n is prime 000000 n is an odd prime 1+n+n² + ··· + n-1 is prime k is composite n = 2 n is composite k = 2 1 is prime. Choose all of the statements that must be true.
Transcribed Image Text:Suppose k that n, k are positive integers, both greater than 1 such that n is prime 000000 n is an odd prime 1+n+n² + ··· + n-1 is prime k is composite n = 2 n is composite k = 2 1 is prime. Choose all of the statements that must be true.
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