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.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.5: Congruence Of Integers
Problem 30E: 30. Prove that any positive integer is congruent to its units digit modulo .
icon
Related questions
Question

Intro to Elementary Number Theory homework problem. Make sure your handwriting is neat and readable.

 

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.
Expert Solution
steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
Recommended textbooks for you
Elements Of Modern Algebra
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning