61051
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Quintan primes: p = (x^5 - y^5)/(x - y).at n=24A002649
- Nonsquare values of m in the discriminant D = 4*m leading to a new maximum of the L-function of the Dirichlet series L(1) = Sum_{k>0} Kronecker(D,k)/k.at n=41A003421
- a(n) = 11^n - 10^n.at n=5A016195
- a(n) = (n+1)^5 - n^5.at n=10A022521
- Primes that are the difference between two powers: y^z - x^z = prime.at n=34A078668
- (Fractional part of 1.1^n) * 10^n.at n=5A091947
- Primes p such that pi(p) is obtained by dropping one of the digits of p in decimal expansion.at n=6A114924
- a(0)=1, a(1)=1, a(n) = 11*a(n/2) for even n, and a(n) = 10*a((n-1)/2) + a((n+1)/2) for odd n >= 3.at n=31A116525
- Primes of form (k+1)^5 - k^5 = A022521(k).at n=3A121616
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 1, 1), (0, 1, 1), (1, 0, -1), (1, 1, 1)}.at n=8A150848
- Integers N such that the digits of N occur starting at the N-th place in N^N.at n=6A159003
- Primes of the form n^2+42.at n=33A174812
- Difference of two positive 5th powers.at n=38A181124
- Number of permutations of [n] with no ascending runs of length 1 or 2.at n=11A186735
- 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=30A193255
- Primes of the form 11^n - 10^n.at n=1A199820
- Largest prime p(k) > p(n) such that 1/p(n) + 1/p(n+1) + ... + 1/p(k) < 1, where p(n) is the n-th prime.at n=15A225671
- Artiads (A001583) congruent to 1 mod 50 and having 2 as a quintic residue.at n=18A270799
- Centered 22-gonal primes.at n=29A276262
- a(n) = a(n-1) + a(n-3) + a(n-4), where a(0) = 4, a(1) = 3, a(2) = 2, a(3) = 1.at n=23A295673