404851

Properties

Appears in sequences

• a(0)=2; for n>=1, a(n) = smallest prime p such that there is a gap of exactly 2n between p and next prime, or -1 if no such prime exists.at n=45A000230
• Smallest prime p such that there is a gap of 6n between p and the next prime.at n=14A058193
• a(n) = Min{ q prime | nextprime(q) - q - 1 = prime(n)}, or 0 if none exist.at n=22A063793
• Primes for which the eight closest primes are smaller.at n=14A075050
• Middle q of three consecutive primes p,q,r, such that one adjacent prime is near, the other is far and the ratio of the differences (whichever of (r-q)/(q-p) or (q-p)/(r-q) is greater than 1) sets a record.at n=18A084105
• First occurrence of prime gap 10*n.at n=8A140791
• Smallest prime p such that there is a gap of sigma(n) between p and the next prime, otherwise 0.at n=39A192496
• Primes followed by a gap of 90.at n=0A204764
• Primes p followed by a gap of at least 1/2 * log(p)^2.at n=23A211073
• Least prime which is followed by a gap of 30n.at n=2A224522
• Primes of the form k^3 - prime(k).at n=7A229203
• a(n) = smallest prime p such that there is a gap of n*(n+1) between p and the next prime.at n=8A241886
• a(n) is the least prime p such that the second forward difference of three consecutive primes p, q and r is n = -(p - 2q + r)/2.at n=40A316792
• a(n) is the first prime p such that each of the first n primes divides at least one of the composites between p and the next prime, but prime(n+1) does not divide any of these.at n=32A341640
• Smallest of two consecutive primes p and q, both ending with 1, such that q - p = 10n, or -1 if no such primes exist.at n=8A380785
• Prime numbersat n=34215