52501
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Denominators of continued fraction convergents to sqrt(881).at n=12A042703
- Primes which can be expressed as concatenation of powers of 5 and 0's.at n=31A066596
- Number of Hamiltonian paths in the graph on n vertices {1,...,n}, with i adjacent to j iff |i-j| <= 2.at n=26A069241
- Primes p such that 12*p^3+-1 are twin primes.at n=29A158297
- Square array A(m,n) = Resultant(X^m+n,(X+1)^m+n), read by (falling) antidiagonals, m >= 1, n >= 0.at n=25A255831
- Artiads (A001583) congruent to 1 mod 50 and having 2 as a quintic residue.at n=12A270799
- Numbers that are the sum of six fifth powers in two or more ways.at n=15A345507
- Numbers that are the sum of six fifth powers in exactly two ways.at n=15A346357
- G.f. A(x) satisfies: A(x) = 1 + x^2 * A(x/(1 - 5*x)) / (1 - 5*x).at n=8A351151
- Primes p that can be written as phi(k) + d(k) for some k, where phi(k) = A000010(k) is Euler's totient function and d(k) = A000005(k) is the number of divisors of k.at n=35A357916
- Prime numbersat n=5360