461717

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=42A000230
• Smallest prime p such that there is a gap of 6n between p and the next prime.at n=13A058193
• a(n) = Min{ q prime | nextprime(q) - q - 1 = prime(n)}, or 0 if none exist.at n=21A063793
• a(n) is the smallest prime p of the form 4k+1 such that nextprime(p) - p = 4n.at n=20A082099
• Smallest prime p(i) such that between 2p(i) and 2p(i+1) there exist n primes.at n=18A104380
• The second primes of two-prime centuries.at n=3A156999
• Smallest prime p such that there is a gap of sigma(n) between p and the next prime, otherwise 0.at n=43A192496
• Least prime such that between it and the next prime there are exactly n semiprimes.at n=25A228171
• a(n) is the smallest prime p such that the gap between p and the next prime is 4*n.at n=20A301925
• a(n) is the start of the first occurrence of exactly n consecutive zeroless primes (A038618).at n=0A384793
• Prime numbersat n=38590