167449
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Number of permutations of length n with longest increasing subsequence of length 4.at n=5A001455
- Triangle of numbers T(n,k) = number of permutations of (1,2,...,n) with longest increasing subsequence of length k (1<=k<=n).at n=39A047874
- Primes p whose order of primeness A049076(p) is >= 6.at n=6A049202
- Primes for which A049076(p) >= 5.at n=16A049203
- Prime recurrence: a(n+1) = a(n)-th prime, with a(1) = 4.at n=7A057450
- Primes p whose order of primeness A078442(p) is at least 7.at n=3A057849
- Primes for which A049076(p) = 8.at n=1A058324
- Dispersion of the primes (an array read by downward antidiagonals).at n=37A114537
- Triangle of numbers read by rows: T(n,k) = number of permutations sigma of (1,2,...,n) with n - {length of longest increasing subsequence in sigma} = k (0<=k<=n-1).at n=41A126065
- primes of the form 5n^2 + 4.at n=10A201483
- Array T(n,k) read along descending antidiagonals: row n contains the primes with n steps in the prime index chain.at n=34A236542
- Fixed points of A245821 and A245822.at n=32A245823
- Primes 10k + 9 preceding the maximal gaps in A269261.at n=11A269262
- x -> prime(x) iterated prime(n) times, evaluated at n.at n=3A344946
- Square array A(n, k), n > 0, k >= 0, read by antidiagonals upwards; A(n, k) is the image of n after k iterates of the prime function (A000040).at n=62A354967
- Prime numbers with prime indices in A333244.at n=12A358179
- Rectangular array read by antidiagonals: A(n,k) = prime(A114537(n,k)).at n=29A370094
- Primes which are sums of a prime triple (p, p+4, p+6).at n=33A377406
- Prime numbersat n=15299