81463

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=23A000230
• Smallest prime p such that there is a gap of exactly 2*prime(n) between p and the next prime.at n=8A080082
• a(n) is the smallest prime p such that the largest prime divisor of the difference nextprime(p) - p equals the n-th prime, prime(n).at n=8A081413
• Primes p such that (r-p)/log(p) > 4, where r is the next prime after p.at n=30A082889
• Increasing peaks in the prime gap sequence A000230.at n=4A086977
• prime(k) for those k where floor((2*(prime(k+1)-prime(k))*PrimePi(k) mod (8*k))/k) = m with m = 11.at n=20A109565
• Records in A000230.at n=14A133429
• Primes p such that q-p = 46, where q is the next prime after p.at n=0A134122
• 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=22A168253
• a(n) is the smallest prime q > a(n-1) such that, for the previous prime p and the following prime r, the fraction (q-p)/(r-q) has denominator prime(n) (or 0, if such a prime does not exist).at n=8A179328
• Smallest prime p such that there is a gap of phi(n) between p and next prime.at n=46A192495
• 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=6A217724
• a(n) = smallest prime(j) > a(n-1) such that prime(j+1) - prime(j) = 2n, a(0) = 2.at n=23A256454
• Primes preceding the first-occurrence gaps in A014320.at n=31A335366
• 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=23A363544
• 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=23A368640
• a(n) is the smallest prime p such that there are n numbers between p and nextprime(p) which are not prime powers.at n=45A368749
• First member of the least set of 3 consecutive primes such that the sum of each pair of consecutive primes in this set is a multiple of n.at n=26A382698
• Prime numbersat n=7970