544279

Properties

Appears in sequences

• a(0)=2; for n>=1, a(n) = smallest prime p such that there is a gap of exactly 2n between p and next prime, or -1 if no such prime exists.at n=44A000230
• a(n) is the smallest prime p of the form 4k+3 such that nextprime(p) - p = 4n.at n=21A082098
• Increasing peaks in the prime gap sequence A000230.at n=10A086977
• Records in A000230.at n=21A133429
• Primes p followed by a gap of at least 1/2 * log(p)^2.at n=25A211073
• Smallest prime producing a gap with the next prime, the size of the gap being a composite number with 2n+1 as a factor.at n=13A217724
• a(n) is the smallest prime p such that the gap between p and the next prime is 4*n.at n=21A301925
• 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=37A341640
• 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=36A341650
• 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=37A341650
• Least prime p such that 2n can be written as the sum or absolute difference of p and the next prime, or -1 if no such prime exists.at n=44A363544
• Prime numbersat n=44903