129009091
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- a(n) = 3^n - 2^n.at n=17A001047
- Nexus numbers (n+1)^17 - n^17.at n=2A022533
- Primes of the form 3^k - 2^k.at n=3A058765
- G.f.: (2-x)/((1+2x)(1-3x)); e.g.f.: exp(3x)+exp(-2x); a(n)=3^n+(-2)^n.at n=17A087451
- Smallest prime factor of 3^n - 2^n.at n=15A089082
- Zsigmondy numbers for a = 3, b = 2: Zs(n, 3, 2) is the greatest divisor of 3^n - 2^n (A001047) that is relatively prime to 3^m - 2^m for all positive integers m < n.at n=16A109325
- List of primitive prime divisors of the numbers 3^n-2^n (A001047) in their order of occurrence.at n=19A129734
- 3^p - 2^p, where p = prime(n).at n=6A135171
- Number of second differences of arrays of length n + 2 of numbers in 0..2.at n=14A228212
- Number of third differences of arrays of length n+3 of numbers in 0..2.at n=13A228254
- Number of achiral color patterns (set partitions) for a row or loop of length n using exactly 3 colors (sets).at n=35A304973
- a(n) are the denominators corresponding to A370823(n).at n=16A370824
- Prime numbersat n=7325215