255767

Properties

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=6A052187
• Primes p such that p, p+36, p+72 are consecutive primes.at n=0A052197
• The smallest initial prime of 2 non-overlapping d-twin primes if the distance between pairs (D) is minimal (see A052380).at n=17A052381
• 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=17A054682
• a(n) = smallest prime p = prime(k) such that gcd( prime(k+1) - prime(k), prime(k+2) - prime(k+1) ) = 2n.at n=17A070018
• First of three consecutive primes in arithmetic progression with gap of 6n, and such that a(n) > a(n-1).at n=5A224325
• Prime numbersat n=22506