191912783

Properties

Appears in sequences

• Primes (lower end) with record gaps to the next consecutive prime: primes p(k) where p(k+1) - p(k) exceeds p(j+1) - p(j) for all j < k.at n=27A002386
• Increasing gaps between prime-powers.at n=32A002540
• Smallest prime p such that q = (r-p)/log(p) > n, where r is the next prime after p.at n=12A082891
• Smallest prime p(i) such that between 2p(i) and 2p(i+1) there exist n primes.at n=30A104380
• Prime p with prime gap q - p of n-th record merit, where q is smallest prime larger than p and the merit of a prime gap is (q-p)/log(p).at n=15A111870
• Primes associated with the prime gaps listed in A085237.at n=46A134266
• Primes prime(k) corresponding to the records in the sequence (prime(k+1)/prime(k))^k.at n=16A205827
• First prime in A122072 that appears at least n times.at n=24A206473
• a(n) is the k-th prime, such that abs(prime(k) - Sum_{j=k-1..k+1} prime(j)/3) sets a new record.at n=29A337489
• Primes preceding record runs of composites coprime to 30 (A007775).at n=23A348394
• Prime numbersat n=10655462