173429

Properties

Appears in sequences

• Smallest prime p such that there is a gap of 2n between p and previous prime.at n=34A001632
• Increasing peaks in the prime gap sequence A001632.at n=7A086978
• 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=34A179234
• a(n) is the smallest prime q such that (q-p)/(r-q) = n, where p<q<r are consecutive primes (or 0 if none exist).at n=34A179256
• Lesser of lonely twin primes pairs with increasing distance to nearest prime.at n=11A262936
• a(n) = Sum_{d|n} (-1)^omega(n/d) * phi(rad(n/d)) * p(d), where p = A000041 (partition numbers).at n=48A333697
• Primes at the end of the first-occurrence gaps in A014320.at n=37A335367
• Let P1>3, P2, P3, P4 be 4 consecutive primes with P3-P2 = 2. a(n) = P2 is the earliest occurrence of the 4-tuple with min(P2-P1, P4-P3) = 2*n, or 0 if no such constellation exists.at n=19A347280
• Prime numbersat n=15784