We want to test the primality of 105 by using the Rabin-Miller test, with the basis 2. Describe and perform all the steps of the computation. Is 105 strongly pseudo-prime with the basis 2? Find all the integers a e {0, 1, .. , 104} such that a13 = 1 modulo 105. Show that a26 cannot be congruent to -1 modulo 105. For which integers a e {1,., 104} is 105 strongly pseudo-prime for the basis a?
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