This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A359698 #57 Jun 04 2023 08:56:10 %S A359698 1,17,193,619,2016,91958,91958,8186278,45392361,977982331,26450915298, %T A359698 91600221212,196425900073,14810317269038,44430951807114, %U A359698 626642721222487,626642721222487,102882886570917135,874191214492184404,3830977578643912683,86801197487071715103 %N A359698 Least k > 0 such that the first n digits of 2^k and 3^k are identical. %H A359698 Zhao Hui Du, <a href="/A359698/b359698.txt">Table of n, a(n) for n = 0..1000</a> %e A359698 n k = a(n) 1st n digits %e A359698 -- ----------- ------------- %e A359698 0 1 %e A359698 1 17 1... %e A359698 2 193 12... %e A359698 3 619 217... %e A359698 4 2016 7524... %e A359698 5 91958 13071... %e A359698 6 91958 130719... %e A359698 7 8186278 1701547... %e A359698 8 45392361 17179395... %e A359698 9 977982331 725070476... %e A359698 10 26450915298 2919267309... %e A359698 a(3) = 619 because 2^619 = 2.175...*10^186 and 3^619 = 2.177...*10^295 both begin with the same three digits (in base ten), and this is not true of any smaller positive integer than 619. %e A359698 a(0) = 1 because 2^1 and 3^1 share zero leading digits. %Y A359698 Cf. A000079, A000244, A088995. %K A359698 base,nonn %O A359698 0,2 %A A359698 _Keith F. Lynch_, May 20 2023 %E A359698 a(11)-a(20) from _Jon E. Schoenfield_, May 21 2023