50417
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- A Fielder sequence: a(n) = a(n-1) + a(n-2) - a(n-7), n >= 8.at n=23A001636
- Numerical distance between m-th and (m+n)-th spheres in loxodromic sequence of spheres in which each 5 consecutive spheres are in mutual contact.at n=20A027674
- a(n) is the first prime p from A031924 such that A052180(primepi(p)) = prime(n).at n=28A052229
- a(n) = 3^n mod n^3.at n=43A066607
- Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=1, r=5, I={0,1,3}.at n=50A079957
- Integers k for which {prime(1), prime(2), ..., prime(k)} (mod 4) is biased towards 1.at n=17A096628
- Primes p2 such that p1^3 + p2^2 is an average of twin primes and p1 < p2 are consecutive primes.at n=31A138755
- Primes p such that 2*p^3 -+ 3 are also prime.at n=37A174363
- Primes prime(k) such that the sum of the squares of digits of prime(k) equals the sum of the squares of digits of k.at n=20A193255
- Primes which are the average of the two adjacent primes and also of the two adjacent squarefree numbers.at n=36A245589
- Primes p such that 2*p^3 + 1 and 2*p^3 + 3 are also primes.at n=28A252042
- Number of walks on square lattice from (1,n) to (0,0) using steps that decrease the Euclidean distance to the origin and increase the Euclidean distance to (n,1) and that change each coordinate by at most 1.at n=9A347947
- Prime numbers that have the same base-10 digits as their prime index (with multiplicity), disregarding zero digits.at n=2A355317
- Prime numbersat n=5174