1100977

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=47A000230
• First n-digit prime to begin a gap.at n=6A053299
• Smallest prime p such that there is a gap of exactly 2*prime(n) between p and the next prime.at n=14A080082
• 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=14A081413
• Increasing peaks in the prime gap sequence A000230.at n=11A086977
• Records in A000230.at n=23A133429
• 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=14A179328
• 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=14A217724
• 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=47A363544
• Prime numbersat n=85787