28229

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=24A000230
• Primes of the form k^2 + (k+1)^2 + (k+2)^2 = 3*(k+1)^2+2.at n=14A027864
• "AFK" (ordered, size, unlabeled) transform of 1,3,5,7,...at n=13A032008
• Numbers whose base-5 representation contains exactly three 0's and three 4's.at n=21A045217
• Primes of the form k^2 + 5.at n=11A056905
• Smallest prime p such that there is a gap of 6n between p and the next prime.at n=7A058193
• Triangle T(n,k) arising from enumeration of permutations with ordered orbits, read by rows (1<=k<=n).at n=50A059418
• a(n) = Min{ q prime | nextprime(q) - q - 1 = prime(n)}, or 0 if none exist.at n=13A063793
• a(n) is the smallest prime p of the form 4k+1 such that nextprime(p) - p = 4n.at n=11A082099
• Primes p such that (r-p)/log(p) > 4, where r is the next prime after p.at n=7A082889
• Primes of the form 3*p^2+2, where p is prime.at n=5A103565
• Smallest prime p(i) such that between 2p(i) and 2p(i+1) there exist n primes.at n=13A104380
• prime(k) for those k where floor((2*(prime(k+1)-prime(k))*PrimePi(k) mod (8*k))/k) = m with m = 13.at n=1A109567
• Primes p=prime(i) of level (1,5), i.e., such that A118534(i) = prime(i-5).at n=2A118464
• Numbers appearing in A122072 at least four times.at n=16A122390
• Primes p such that q-p = 48, where q is the next prime after p.at n=0A134123
• a(n) is the smallest prime q such that, for the previous prime p and the following prime r, the fraction (q-p)/(r-q) has denominator n (or 0, if such a prime does not exist).at n=23A168253
• Partial sums of Proth primes A080076.at n=26A172243
• Smallest prime p such that there is a gap of sigma(n) between p and the next prime, otherwise 0.at n=34A192496
• Smallest prime p such that there is a gap of sigma(n) between p and the next prime, otherwise 0.at n=32A192496