69593
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- a(n) is the smallest prime p such that p, p+d, and p+2d are consecutive primes where d = 2 for n = 1 and d = 6*(n-1) for n > 1.at n=5A052187
- Primes p such that p, p+30, p+60 are consecutive primes.at n=0A052195
- The smallest initial prime of 2 non-overlapping d-twin primes if the distance between pairs (D) is minimal (see A052380).at n=14A052381
- a(n) = smallest prime p = prime(k) such that gcd( prime(k+1) - prime(k), prime(k+2) - prime(k+1) ) is a multiple of 2n.at n=14A054682
- Partial sums of A001158: Sum_{j=1..n} sigma_3(j).at n=21A064603
- a(n) = smallest prime p = prime(k) such that gcd( prime(k+1) - prime(k), prime(k+2) - prime(k+1) ) = 2n.at n=14A070018
- Erroneous version of A052195.at n=0A089218
- Prime numbers with gaps larger than 20 towards both neighboring primes.at n=35A163112
- First of three consecutive primes with a gap of 30n.at n=0A224324
- First of three consecutive primes in arithmetic progression with gap of 6n, and such that a(n) > a(n-1).at n=4A224325
- Least prime divisor of the n-th central Delannoy number D(n) which does not divide any D(k) with k < n, or 1 if such a primitive prime divisor of D(n) does not exist.at n=33A242173
- Multiplicity of the zero at x=1 of the characteristic polynomial P_n^C.at n=36A246997
- Triangle read by rows: T(n,k) is the number of bargraphs of semiperimeter n having k horizontal steps in the valleys (n>=2, k>=0).at n=49A278134
- Prime numbersat n=6905