A246493 Smallest k such that 5^^n is not congruent to 5^^(n-1) mod k, where 5^^n denotes the power tower 5^5^...^5 (in which 5 appears n times).
3, 7, 19, 47, 243, 719, 1439, 2879, 19683, 59049, 177147, 531441, 1594323, 4782969
Offset: 1
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