44351

Properties

Appears in sequences

• Smallest prime p such that there is a gap of 2n between p and previous prime.at n=28A001632
• Smallest prime p such that there is a gap of 2*prime(n) between p and previous prime.at n=9A080083
• 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=13A084975
• 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=28A179234
• Lexicographically earliest permutation of the primes such that successive absolute differences yield a permutation of all nonprime numbers.at n=42A203985
• Primes occurring in A213521.at n=38A213522
• Prime number following prime(A215237).at n=5A215239
• a(n) = (1/4)*n^4 - (1/2)*n^3 + (3/4)*n^2 - (1/2)*n + 41.at n=20A259552
• Bounding prime for the first k-Ramanujan prime.at n=40A277718
• Primes at the end of the first-occurrence gaps in A014320.at n=30A335367
• Square array read by antidiagonals upwards: T(n,k) for integer k >= 0 is the n-th prime p such that p^(2*3^k) + p^(3^k) + 1 is prime.at n=50A344448
• 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=11A350096
• a(n) = smallest prime Q of a consecutive prime triple {P, Q, R} such that floor( (R-Q) * (Q-P) / 8 ) = n.at n=42A375009
• Prime numbersat n=4613