1444309

Properties

Appears in sequences

• Smallest prime p such that there is a gap of 6n between p and the next prime.at n=16A058193
• a(n) = Min{ q prime | nextprime(q) - q - 1 = prime(n)}, or 0 if none exist.at n=24A063793
• Increasing peaks in the prime gap sequence A000230.at n=12A086977
• Records in A000230.at n=24A133429
• The only primes in single-prime centuries.at n=9A156118
• Primes p followed by a gap of at least 1/2 * log(p)^2.at n=36A211073
• Primes p such that the next prime appears after a gap greater than 100.at n=6A252800
• 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, but prime(n+1) does not divide any of these.at n=43A341640
• 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=41A341650
• 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=42A341650
• 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=43A341650
• Prime numbersat n=110224