47326693

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=24A002386
• Increasing gaps between prime-powers.at n=29A002540
• Largest n-digit prime at the start of a record in the RECORDS transform of the prime gaps.at n=7A053302
• Smaller of pair of successive n-digit primes with maximal difference.at n=7A073861
• Smallest prime p(i) such that between 2p(i) and 2p(i+1) there exist n primes.at n=27A104380
• Primes associated with the prime gaps listed in A085237.at n=43A134266
• First occurrence of prime gap 10*n.at n=21A140791
• First prime in A122072 that appears at least n times.at n=21A206473
• a(n) is the k-th prime, such that abs(prime(k) - Sum_{j=k-2..k+2} prime(j)/5) sets a new record.at n=30A337439
• 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=25A337489
• Primes preceding record runs of composites coprime to 30 (A007775).at n=20A348394
• Primes p such that the difference between the average of the next 2 primes after p and p sets a new record.at n=34A375095
• Smaller of two consecutive primes p and q, both ending with 3, such that q-p = 10n, or -1 if no such primes exist.at n=21A381372
• Prime numbersat n=2850174