524287
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- a(n) = 2^n - 1. (Sometimes called Mersenne numbers, although that name is usually reserved for A001348.)at n=19A000225
- Mersenne primes (primes of the form 2^n - 1).at n=6A000668
- Table T(n,k) in which n-th row lists prime factors of 2^n - 1 (n >= 2), with repetition.at n=42A001265
- Mersenne numbers: 2^p - 1, where p is prime.at n=7A001348
- a(n) = least primitive factor of 2^(2n+1) - 1.at n=9A002184
- a(n) = largest noncomposite factor of 2^(2n+1) - 1.at n=9A002588
- Numerators of the Taylor coefficients of (e^x-1)^2.at n=18A002678
- Largest prime factor of n-th Mersenne number (A001348(n)).at n=7A003260
- Primes of form (p^x - 1)/(p^y - 1), p prime.at n=33A003424
- Divisors of 2^38 - 1.at n=3A003544
- Class 1+ primes: primes of the form 2^i*3^j - 1 with i, j >= 0.at n=40A005105
- Largest prime factor of 2^n - 1.at n=17A005420
- Largest prime factor of 2^n - 1.at n=36A005420
- Mersenne numbers with at most 2 prime factors.at n=7A006515
- Numbers k such that k and k+1 are prime powers.at n=13A006549
- Numbers n such that game of n X n Button Madness need have no solution; this lists only the primitive elements of the set.at n=25A007802
- Stirling numbers of second kind S2(20,n).at n=1A011569
- Largest prime <= 2^n.at n=18A014234
- Jacobsthal-Lucas numbers.at n=19A014551
- Smallest prime factor of Mersenne numbers 2^p-1, where p is prime.at n=7A016047