188029

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=39A000230
• Smallest prime p such that there is a gap of 6n between p and the next prime.at n=12A058193
• Primes p such that (r-p)/log(p) > 5, where r is the next prime after p.at n=26A082890
• Smallest prime p such that there is a gap of sigma(n) between p and the next prime, otherwise 0.at n=44A192496
• Primes p followed by a gap of at least 1/2 * log(p)^2.at n=16A211073
• Primes p=prime(i) of level (1,7), i.e., such that A118534(i) = prime(i-7).at n=7A216202
• Primes preceding the first-occurrence gaps in A014320.at n=38A335366
• a(0) = 2; for n > 0, a(n) is the smallest prime that differs from the next prime by 2n and is not part of a run of 3 or more consecutive primes in arithmetic progression, or -1 if no such prime exists.at n=39A368640
• Primes p such that the difference between the average of the next 2 primes after p and p sets a new record.at n=21A375095
• a(n) is the least prime p such that there are exactly n squarefree numbers strictly between p and the next prime, or -1 if there is no such p.at n=46A378111
• Prime numbersat n=17006