20831323

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=23A002386
• Increasing gaps between prime-powers.at n=28A002540
• Smallest prime p such that q = (r-p)/log(p) > n, where r is the next prime after p.at n=10A082891
• Smallest prime p such that q = (r-p)/log(p) > n, where r is the next prime after p.at n=11A082891
• 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=30A084974
• Aloof primes: Total distance between prime and neighboring primes sets record.at n=30A096265
• Smallest prime p(i) such that between 2p(i) and 2p(i+1) there exist n primes.at n=26A104380
• 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=14A111870
• 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=6A111943
• Primes p smaller than sqrt(g)*exp(sqrt(g)), where g is the gap between p and the next prime.at n=11A124147
• Primes associated with the prime gaps listed in A085237.at n=42A134266
• First occurrence of prime gap 10*n.at n=20A140791
• Primes prime(n) such that prime(n+1) - prime(n) > log(n)^2.at n=13A182315
• Primes prime(k) corresponding to the records in the sequence (prime(k+1)/prime(k))^k.at n=15A205827
• First prime in A122072 that appears at least n times.at n=18A206473
• First prime in A122072 that appears at least n times.at n=19A206473
• First prime in A122072 that appears at least n times.at n=20A206473
• Least prime which is followed by a gap of 30n.at n=6A224522
• a(n) = smallest prime p such that p + prime(n)# is next prime after p, where primorial prime(n)# = 2*3*..*prime(n).at n=3A224700
• Smallest number requiring n steps to reach a prime under the "add a digit" process described in A241180.at n=25A241182