492113

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=17A002386
• Increasing gaps between prime-powers.at n=22A002540
• Largest n-digit prime at the start of a record in the RECORDS transform of the prime gaps.at n=5A053302
• Smallest prime p such that there is a gap of 6n between p and the next prime.at n=18A058193
• a(n) = Min{ q prime | nextprime(q) - q - 1 = prime(n)}, or 0 if none exist.at n=28A063793
• Smaller of pair of successive n-digit primes with maximal difference.at n=5A073861
• Primes for which the eight closest primes are smaller.at n=16A075050
• Smallest prime for which the n closest primes are smaller.at n=10A075051
• Smallest prime for which the n closest primes are smaller.at n=11A075051
• Conjectured values of greatest k such that for any consecutive primes q, q', k <= q < q', sqrt(q')-sqrt(q) < 1/n.at n=12A079098
• Conjectured values of greatest k such that for any consecutive primes q, q', k <= q < q', sqrt(q')-sqrt(q) < 1/n.at n=13A079098
• Conjectured values of greatest k such that for any consecutive primes q, q', k <= q < q', sqrt(q')-sqrt(q) < 1/n.at n=14A079098
• 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=17A084974
• Erroneous version of A002540.at n=23A094158
• Smallest prime p(i) such that between 2p(i) and 2p(i+1) there exist n primes.at n=21A104380
• Primes associated with the prime gaps listed in A085237.at n=33A134266
• The second primes of two-prime centuries.at n=5A156999
• Primes prime(n) such that prime(n+1) - prime(n) > log(n)^2.at n=11A182315
• Primes p followed by a gap of at least 1/2 * log(p)^2.at n=24A211073
• Least prime such that between it and the next prime there are exactly n semiprimes.at n=29A228171