212777

Properties

Appears in sequences

• Smallest prime p such that there is a gap of 2n between p and previous prime.at n=37A001632
• 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=31A059847
• Primes of the form p^2 + q^8 where p and q are primes.at n=17A122710
• 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=37A179234
• a(n) is the smallest prime(i) such that (prime(i) - prime(j))/(i - j) = prime(n) with i > j.at n=14A234511
• a(1) = 2; thereafter, a(n) is the smallest prime not yet used which is compatible with the condition that a(n) is a non-quadratic residue modulo a(k) for the next n indices k = n + 1, n + 2, ..., 2n.at n=27A249797
• Primes at the end of the first-occurrence gaps in A014320.at n=39A335367
• First of four consecutive primes p,q,r,s such that (2*p+q)/5 and (r+2*s)/5 are prime.at n=18A358149
• Prime numbersat n=19027