Which of the following is the best way to PROVE or DISPROVE the statement "Every integer greater than 1 has a prime divisor." Show that if there is a positive in- teger greater than 1 with no prime divisors, then a contradiction will Find an integer n greater than 1 that has no prime divisor arise on smallest such integer. Show that the numbers (n + 1)! + 2, (n + 1)! + 3, Show that every composite num- ber has a prime divisor. (n+1)! +n +1 are all composite numbers.
Which of the following is the best way to PROVE or DISPROVE the statement "Every integer greater than 1 has a prime divisor." Show that if there is a positive in- teger greater than 1 with no prime divisors, then a contradiction will Find an integer n greater than 1 that has no prime divisor arise on smallest such integer. Show that the numbers (n + 1)! + 2, (n + 1)! + 3, Show that every composite num- ber has a prime divisor. (n+1)! +n +1 are all composite numbers.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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