8388607
domain: N
Appears in sequences
- a(n) = 2^n - 1. (Sometimes called Mersenne numbers, although that name is usually reserved for A001348.)at n=23A000225
- Mersenne numbers: 2^p - 1, where p is prime.at n=8A001348
- Numerators of the Taylor coefficients of (e^x-1)^2.at n=22A002678
- Divisors of 2^46 - 1.at n=7A003551
- Mersenne numbers with at most 2 prime factors.at n=8A006515
- Stirling numbers of second kind S2(24,n).at n=1A011573
- Jacobsthal-Lucas numbers.at n=23A014551
- Cyclotomic polynomials at x=2.at n=23A019320
- Nexus numbers (n+1)^23 - n^23.at n=1A022539
- Maximum cycle length in differentiation digraph for n-bit binary sequences.at n=46A038553
- Number of moves needed to solve an (n+1)-ring baguenaudier if two simultaneous moves of the two end rings are counted as one.at n=23A051049
- Smallest number x > 1 such that phi(x) + sigma(x) = k*d(x)^n, i.e., the left-hand side is divisible by the n-th power of the number of divisors.at n=11A055470
- Numbers that are both Mersenne numbers (A001348) and lucky numbers (A000959).at n=7A057612
- Numbers that are both lucky numbers (A000959) and of form 2^k-1 (A000225).at n=15A057613
- Number of points of period n under the dual of the map x->2x on Z[1/6].at n=22A059990
- Nim-factorial(a(n))=1.at n=27A060152
- Positions of nonzero coefficients in cyclotomic polynomial Phi_n(x), converted from binary to decimal.at n=23A063670
- Positions of positive coefficients in cyclotomic polynomial Phi_n(x), converted from binary to decimal.at n=23A063696
- Smith numbers which are also base-2 pseudoprimes.at n=14A063844
- Zsigmondy numbers for a = 2, b = 1: Zs(n, 2, 1) is the greatest divisor of 2^n - 1 (A000225) that is coprime to 2^m - 1 for all positive integers m < n.at n=22A064078