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Does it continue? 5: powers of 2 (Posted on 2017-09-24) Difficulty: 3 of 5
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
Solution2^n mod nMath Man2017-10-04 14:54:22
The questionJer2017-09-25 10:53:13
SolutionSolution Showcasing Several SequencesBrian Smith2017-09-25 09:38:53
Got me.broll2017-09-24 23:05:09
Some Thoughtscomputer findingsCharlie2017-09-24 16:53:43
solutionDaniel2017-09-24 13:12:51
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