Unresolved Mystery in the Sequence of Last Two Digits of 2^n
2025-03-20
Mathematicians have investigated the sequence of the last two digits of 2^n, finding that 2^n only conforms to this sequence when n takes specific values (congruent to 3, 6, 10, 11, or 19 mod 20). No additional conforming numbers have been found for n up to 50000. Further research reveals that checking digits from right to left until an odd digit is found requires checking at most the 18th digit. This discovery sparks further thought about the underlying pattern of this sequence and offers new avenues for mathematical exploration.
(oeis.org)
Misc
sequence