1561919

Properties

Appears in sequences

• Conjectured values of greatest k such that for any consecutive primes q, q', k <= q < q', sqrt(q')-sqrt(q) < 1/n.at n=18A079098
• Primes that show the slow decrease in the larger values of the Andrica function Af(k) = sqrt(p(k+1)) - sqrt(p(k)), where p(k) denotes the k-th prime.at n=20A084974
• Aloof primes: Total distance between prime and neighboring primes sets record.at n=27A096265
• Primes associated with the prime gaps listed in A085237.at n=36A134266
• The only primes in single-prime centuries.at n=14A156118
• First prime in A122072 that appears at least n times.at n=13A206473
• Primes p such that the next prime appears after a gap greater than 100.at n=8A252800
• a(n) is the first prime p such that each of the first n primes divides at least one of the composites between p and the next prime.at n=44A341650
• a(n) is the first prime p such that each of the first n primes divides at least one of the composites between p and the next prime.at n=45A341650
• 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=34A354219
• Prime numbersat n=118505