MA 341 Spring-09, Sample Exam 3 Question Answers
- 1) a) Every value.
- 2) No solutions.
- 3) a) 1 , b) No , c) Any 10^k (mod 313) with (k, 312) = 1 will work.
- 4) No solutions
- 5) a) 1, 2, 5, 10, 11, 22, 55, 110 b) 110 .
- 6) There are four solutions. They are +/- 17 , +/- 38 (mod 77).
- 7) a) 5460 . b) There is no d that will work.
- 8) p = 1, 9, 11, 15, 23 or 25 (mod 28)
- 9) (p-1)/2 .
- 10) a) has solutions. b) There are many examples (other than one in
a)). c) Since 1279 = 3 (mod 4) the solutions are +/- a^{320} (mod 1279).
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