58831

Properties

Appears in sequences

• Lonely (or isolated) primes: increasing distance to nearest prime.at n=11A023186
• Lonely (or isolated) primes: least prime of distance n from nearest prime (n = 1 or even).at n=21A023188
• Lower prime of the second gap of 2n between primes.at n=28A046789
• Lonely numbers: distance to closest prime sets a new record.at n=25A051650
• Smallest number at distance 2n from nearest prime.at n=21A051728
• Number of ways to write n as the arithmetic mean of a set of distinct primes.at n=32A072701
• Conjectured values of greatest k such that for any consecutive primes q, q', k <= q < q', sqrt(q')-sqrt(q) < 1/n.at n=8A079098
• Primes p such that (r-p)/log(p) > 4, where r is the next prime after p.at n=23A082889
• Primes p such that (r-p)/log(p) > 5, where r is the next prime after p.at n=9A082890
• 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=14A084974
• "Lonely primes": those primes that are locally maximally isolated from the nearest other primes. The differences between each lonely prime and the immediately preceding prime and following primes are both greater than the corresponding differences for all lonely primes earlier in the sequence.at n=11A087770
• Aloof primes: Total distance between prime and neighboring primes sets record.at n=21A096265
• Smallest prime a(n) such that a(n)-x and a(n)+x, for x=1 to n, are all composite.at n=39A102723
• prime(k) for those k where floor((2*(prime(k+1)-prime(k))*PrimePi(k) mod (8*k))/k) = m with m = 15.at n=4A109569
• Isolated primes: geometric mean of distances of a prime to neighboring primes sets record.at n=18A120384
• Least prime such that the distance to the two adjacent primes is 2n or greater.at n=21A120937
• Smallest number at distance 3n from nearest prime (variant 2).at n=14A132861
• Smallest number at distance 2n from nearest prime (variant 3).at n=21A133490
• a(0)=2. a(n) = smallest prime > a(n-1) such that (Sum_{k=0..n} a(k)) is a power of a prime.at n=11A139021
• The first primes in centuries with three primes.at n=0A157131