This is a classic logic puzzle, not a mathematical sequence. The first statement establishes that 1 equals 5, so by symmetry, if 1=5, then 5 must equal 1. While the pattern 5^1=5, 5^2=25, 5^3=125, 5^4=625 would mathematically lead to 5^5=3125, the riddle intends for you to recognize the reflexive relationship from the first statement.