360653

Properties

Appears in sequences

• a(0)=2; for n>=1, a(n) = smallest prime p such that there is a gap of exactly 2n between p and next prime, or -1 if no such prime exists.at n=48A000230
• Primes (lower end) with record gaps to the next consecutive prime: primes p(k) where p(k+1) - p(k) exceeds p(j+1) - p(j) for all j < k.at n=15A002386
• Increasing gaps between prime-powers.at n=20A002540
• Lower prime of a record difference between it and the second prime after it.at n=22A031133
• Smallest prime p such that there is a gap of 6n between p and the next prime.at n=15A058193
• a(n) is the smallest prime p of the form 4k+1 such that nextprime(p) - p = 4n.at n=23A082099
• Erroneous version of A002540.at n=21A094158
• Prime p with prime gap q - p of n-th record merit, where q is smallest prime larger than p and the merit of a prime gap is (q-p)/log(p).at n=9A111870
• Primes associated with the prime gaps listed in A085237.at n=31A134266
• Smallest prime p such that there is a gap of sigma(n) between p and the next prime, otherwise 0.at n=41A192496
• Primes prime(k) corresponding to the records in the sequence (prime(k+1)/prime(k))^k.at n=10A205827
• First prime in A122072 that appears at least n times.at n=8A206473
• Primes p followed by a gap of at least 1/2 * log(p)^2.at n=20A211073
• Consider sets of 3 consecutive primes a, b, c such that c - a = 100, then sequence gives the values of b.at n=2A217603
• a(n) is the smallest prime p such that the gap between p and the next prime is 4*n.at n=23A301925
• a(n) is the k-th prime, such that abs(prime(k) - Sum_{j=k-2..k+2} prime(j)/5) sets a new record.at n=20A337439
• a(n) is the k-th prime, such that abs(prime(k) - Sum_{j=k-1..k+1} prime(j)/3) sets a new record.at n=13A337489
• Primes preceding record runs of composites coprime to 30 (A007775).at n=12A348394
• Primes p such that the squarefree kernel of the product of the composite numbers between p and the next prime after p (A076978) sets a new record.at n=40A354217
• Primes p such that the number of distinct prime factors omega of the product of the composite numbers between p and the next prime after p sets a new record.at n=29A354219