81509

Properties

Appears in sequences

• Smallest prime p such that there is a gap of 2n between p and previous prime.at n=22A001632
• Discriminants of totally real quintic fields.at n=6A023683
• Smallest prime p such that there is a gap of 2*prime(n) between p and previous prime.at n=8A080083
• Increasing peaks in the prime gap sequence A001632.at n=4A086978
• a(n) = least prime P(n) such that P(n)-2*p(n) is prime and P(n+1)>P(n) with p(n)=n-th prime.at n=8A115972
• a(n) is the smallest prime q such that, for the previous prime p and the following prime r, the fraction (r-q)/(q-p) has denominator n in lowest terms.at n=22A179234
• Floor-Sqrt transform of Lucas numbers (A000032).at n=47A192660
• a(0) = 3, then a(n) is the least prime greater than a(n-1) that follows a gap of exactly 2*n.at n=23A253899
• Primes p such that phi(phi(p-1)+1) = phi(phi(p-2)+1).at n=23A271659
• Primes at the end of the first-occurrence gaps in A014320.at n=31A335367
• Prime numbersat n=7971