4652353

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=21A002386
• Increasing gaps between prime-powers.at n=26A002540
• Largest n-digit prime at the start of a record in the RECORDS transform of the prime gaps.at n=6A053302
• Smaller of pair of successive n-digit primes with maximal difference.at n=6A073861
• Conjectured values of greatest k such that for any consecutive primes q, q', k <= q < q', sqrt(q')-sqrt(q) < 1/n.at n=28A079098
• Conjectured values of greatest k such that for any consecutive primes q, q', k <= q < q', sqrt(q')-sqrt(q) < 1/n.at n=29A079098
• Conjectured values of greatest k such that for any consecutive primes q, q', k <= q < q', sqrt(q')-sqrt(q) < 1/n.at n=30A079098
• Conjectured values of greatest k such that for any consecutive primes q, q', k <= q < q', sqrt(q')-sqrt(q) < 1/n.at n=31A079098
• 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=24A084974
• Erroneous version of A002540.at n=27A094158
• Aloof primes: Total distance between prime and neighboring primes sets record.at n=28A096265
• Primes where the record gaps in A053686 first appear.at n=9A133788
• Primes associated with the prime gaps listed in A085237.at n=38A134266
• Lesser of two successive primes p1, p2, where p2-p1 (gap) includes at least one entire primeless century.at n=5A158957
• Smallest prime producing a gap with the next prime, the size of the gap being a composite number with 2n+1 as a factor.at n=24A217724
• Smallest number requiring n steps to reach a prime under the "add a digit" process described in A241180.at n=20A241182
• Primes preceding record runs of composites coprime to 30 (A007775).at n=17A348394
• 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=36A354219
• Primes p such that the difference between the average of the next 2 primes after p and p sets a new record.at n=30A375095
• Prime numbersat n=325852