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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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
arise on smallest such integer.
Find an integer n greater than 1
that has no prime divisor
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.
....
Transcribed Image Text: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 arise on smallest such integer. Find an integer n greater than 1 that has no prime divisor 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. ....
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