543607
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- a(n) = 7^n - 6^n.at n=7A016169
- Nexus numbers (n + 1)^7 - n^7.at n=6A022523
- Triangle of Lehmer-Comtet numbers of 2nd kind.at n=29A039621
- Number of sticky functions: endofunctions of [n] having a fixed point.at n=6A045531
- Primes that are the difference between two powers: y^z - x^z = prime.at n=38A078668
- Triangle of numbers defined by Knuth.at n=29A091884
- Nexus primes of order 7 or primes of form n^7 - (n-1)^7 = A022523(n-1).at n=2A121618
- Primes of the form 7^k-6^k.at n=2A147669
- A triangle of polynomial coefficients: q(x,n)=(1 - x)^(n + 1)*Sum[(k + n)^n*x^k, {k, 0, Infinity}]; p(x,n)=q(x,n)+x^n*q(1/x,n).at n=28A155947
- A triangle of polynomial coefficients: q(x,n)=(1 - x)^(n + 1)*Sum[(k + n)^n*x^k, {k, 0, Infinity}]; p(x,n)=q(x,n)+x^n*q(1/x,n).at n=35A155947
- Triangular array T(n,k): functions f:{1,2,...,n}-> {1,2,...,n} such that each of k fixed (but arbitrary) elements are in the image of f.at n=29A174551
- Difference of two positive 7th powers.at n=16A181126
- Triangular array read by rows, T(n,k) is the number of functions from {1,2,...,n} into {1,2,...,n} with maximum value of k.at n=27A199656
- Primes of the form x^(y+1)-y^x, for x,y > 0.at n=4A243100
- Number T(n,k) of endofunctions on [n] where the smallest cycle length equals k; triangle T(n,k), n>=0, 0<=k<=n, read by rows.at n=29A246049
- Odd integers k such that 5^((k-1)/2) + 1 == 0 (mod k*(k-1)/2).at n=27A337829
- Triangle read by rows. The Bell transform of the sequence {m^m | m >= 0}.at n=38A354794
- Prime numbersat n=44847