Research data for the kind reviewers of JNT about the smallest perfect powers of degree c=3,4,5,...,32, congruent to 5 modulo 20, having a constant congruence speed of c (please, note that this result has not been included in the submitted manuscript, since the original problem has been proven by using the LTE Lemma anda taking into account the bases congruent to 1 modulo 20).