370261

Properties

Appears in sequences

• 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=16A002386
• Increasing gaps between prime-powers.at n=21A002540
• Least number such that a(n) and nextprime(a(n)) differ by at least a power of 10, 10^m, where m >= n.at n=2A053976
• Primes for which the eight closest primes are smaller.at n=11A075050
• Conjectured values of greatest k such that for any consecutive primes q, q', k <= q < q', sqrt(q')-sqrt(q) < 1/n.at n=10A079098
• Conjectured values of greatest k such that for any consecutive primes q, q', k <= q < q', sqrt(q')-sqrt(q) < 1/n.at n=11A079098
• a(n) is the smallest prime p of the form 4k+1 such that nextprime(p) - p = 4n.at n=27A082099
• Smallest prime p such that q = (r-p)/log(p) > n, where r is the next prime after p.at n=7A082891
• Primes that show the slow decrease in the larger values of the Andrica function Af(k) = sqrt(p(k+1)) - sqrt(p(k)), where p(k) denotes the k-th prime.at n=16A084974
• Erroneous version of A002540.at n=22A094158
• Aloof primes: Total distance between prime and neighboring primes sets record.at n=24A096265
• Smallest prime p(i) such that between 2p(i) and 2p(i+1) there exist n primes.at n=19A104380
• 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=10A111870
• Prime p with prime gap q - p of n-th record Cramer-Shanks-Granville ratio, where q is smallest prime larger than p and C-S-G ratio is (q-p)/(log p)^2.at n=4A111943
• Primes p smaller than sqrt(g)*exp(sqrt(g)), where g is the gap between p and the next prime.at n=9A124147
• Primes associated with the prime gaps listed in A085237.at n=32A134266
• Primes prime(n) such that prime(n+1) - prime(n) > log(n)^2.at n=10A182315
• Primes prime(k) corresponding to the records in the sequence (prime(k+1)/prime(k))^k.at n=11A205827
• First prime in A122072 that appears at least n times.at n=9A206473
• First prime in A122072 that appears at least n times.at n=10A206473