perplexus.info :: Numbers : Does it continue? 5: powers of 2

Does it continue? 5: powers of 2 (Posted on 2017-09-24)

Before trying the problem "note your opinion as to whether the observed pattern is known to continue, known not to continue, or not known at all."

For integers greater than 1,
2ⁿ is never congruent to 1 (mod n)
2ⁿ is congruent to 2 (mod n) whenever n is prime, and sometimes when it isn't,
is 2ⁿ ever congruent to 3 (mod n)?

No Solution Yet Submitted by Jer

Rating: 5.0000 (1 votes)

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
2^n mod n	Math Man	2017-10-04 14:54:22
The question	Jer	2017-09-25 10:53:13
Solution Showcasing Several Sequences	Brian Smith	2017-09-25 09:38:53
Got me.	broll	2017-09-24 23:05:09
computer findings	Charlie	2017-09-24 16:53:43
solution	Daniel	2017-09-24 13:12:51

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (11)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info