82073

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=28A000230
• Primes for which the six closest primes are smaller.at n=18A075038
• a(n) is the smallest prime p of the form 4k+1 such that nextprime(p) - p = 4n.at n=13A082099
• Primes p such that (r-p)/log(p) > 4, where r is the next prime after p.at n=31A082889
• Increasing peaks in the prime gap sequence A000230.at n=5A086977
• prime(k) for those k where floor((2*(prime(k+1)-prime(k))*PrimePi(k) mod (8*k))/k) = m with m = 14.at n=7A109568
• Records in A000230.at n=15A133429
• a(n) is the smallest prime q such that, for the previous prime p and the following prime r, the fraction (q-p)/(r-q) has denominator n (or 0, if such a prime does not exist).at n=27A168253
• Smallest prime p such that there is a gap of sigma(n) between p and the next prime, otherwise 0.at n=27A192496
• Smallest prime p such that there is a gap of sigma(n) between p and the next prime, otherwise 0.at n=38A192496
• Primes p such that q-p = 56, where q is the next prime after p.at n=0A204667
• a(n) = smallest prime p such that there is a gap of n*(n+1) between p and the next prime.at n=6A241886
• a(n) is the smallest prime p such that the gap between p and the next prime is 4*n.at n=13A301925
• Primes preceding the first-occurrence gaps in A014320.at n=32A335366
• Least prime p such that 2n can be written as the sum or absolute difference of p and the next prime, or -1 if no such prime exists.at n=28A363544
• a(0) = 2; for n > 0, a(n) is the smallest prime that differs from the next prime by 2n and is not part of a run of 3 or more consecutive primes in arithmetic progression, or -1 if no such prime exists.at n=28A368640
• Prime numbersat n=8028