156007

Properties

Appears in sequences

• Record gaps between primes (upper end) (compare A002386, which gives lower ends of these gaps).at n=14A000101
• Upper prime of a record difference between it and the second prime before it.at n=21A031134
• Primes occurring in A050765.at n=4A050766
• a(n) = 2*p + 2*n - 1, where p is the least prime such that next_prime(2*p) - 2*p = 2*n - 1.at n=34A059847
• Upper ends of record prime gaps under consideration of the prime number theorem.at n=14A060771
• Smallest prime p such that there is a gap of 2*prime(n) between p and previous prime.at n=13A080083
• 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=15A084975
• Smallest prime number that ends a prime gap of at least 2n.at n=36A100965
• Smallest prime number that ends a prime gap of at least 2n.at n=37A100965
• Smallest prime number that ends a prime gap of at least 2n.at n=38A100965
• Smallest prime number that ends a prime gap of at least 2n.at n=39A100965
• Larger prime power associated with gaps in A121492.at n=19A167236
• a(n) is the smallest prime q such that, for the previous prime p and the following prime r, the fraction (r-q)/(q-p) has denominator n in lowest terms.at n=42A179234
• Prime numbers ending in James Bond number ''007''.at n=27A193552
• a(n) = smallest Ramanujan prime R_k in A104272 that is >= A000101(n).at n=14A214757
• Primes q with prime gap q - p of n-th record merit.at n=8A277552
• Primes at the end of the first-occurrence gaps in A014320.at n=35A335367
• a(n) is the k-th prime, such that abs(prime(k) - Sum_{j=k-2..k+2} prime(j)/5) sets a new record.at n=19A337439
• a(n) is the k-th prime, such that abs(prime(k) - Sum_{j=k-1..k+1} prime(j)/3) sets a new record.at n=12A337489
• a(n) is the larger of 2 consecutive primes bounding an interval containing a record number A350097(n) of odd squarefree semiprimes (A046388).at n=12A350096