Find the smallest positive integer k satisfying the stated condition or explain no such k exists: 2^k -= 1 mod 14.

BenoguigoliB

BenoguigoliB

Answered question

2021-01-04

Find the smallest positive integer k satisfying the stated condition or explain no such k exists:
2k1mod14.

Answer & Explanation

Mitchel Aguirre

Mitchel Aguirre

Skilled2021-01-05Added 94 answers

Find 2k(mod14) for some values of k.
212(mod14)
224(mod14)
238(mod14)
242(mod14)
254(mod14)
......
So, 2k(mod14) gives the value 2,4 or 8 for any positive integer k.
Hence, there exists no positive integer k such that 2k1(mod14).

Do you have a similar question?

Recalculate according to your conditions!

New Questions in High school geometry

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?