17051707

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=22A002386
• Increasing gaps between prime-powers.at n=27A002540
• 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=13A111870
• Primes associated with the prime gaps listed in A085237.at n=41A134266
• First occurrence of prime gap 10*n.at n=17A140791
• Primes p such that q-p = 180, where q is the next prime after p.at n=0A204673
• Primes prime(k) corresponding to the records in the sequence (prime(k+1)/prime(k))^k.at n=14A205827
• First prime in A122072 that appears at least n times.at n=16A206473
• First prime in A122072 that appears at least n times.at n=17A206473
• Consider sets of 3 consecutive primes a<b<c such that c - a = 200. The sequence gives the values of b.at n=1A217655
• Least prime which is followed by a gap of 30n.at n=5A224522
• Smallest number requiring n steps to reach a prime under the "add a digit" process described in A241180.at n=23A241182
• 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=22A337489
• Primes preceding record runs of composites coprime to 30 (A007775).at n=18A348394
• Primes p such that the number of distinct prime factors omega of the product of the composite numbers between p and the next prime after p sets a new record.at n=40A354219
• Primes p such that the difference between the average of the next 2 primes after p and p sets a new record.at n=32A375095
• Smaller of two consecutive primes p and q, both ending with 7, such that q - p = 10n, or -1 if no such primes exist.at n=17A381510
• Prime numbersat n=1094421