49269581

Properties

Appears in sequences

• a(n) = Min{ q prime | nextprime(q) - q - 1 = prime(n)}, or 0 if none exist.at n=35A063793
• Smallest prime p such that there is a gap of exactly 2*prime(n) between p and the next prime.at n=21A080082
• 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=21A081413
• Increasing peaks in the prime gap sequence A000230.at n=19A086977
• Records in A000230.at n=34A133429
• 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=21A179328
• Prime numbersat n=2959782