43391
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Smallest prime p such that there is a gap of 2n between p and previous prime.at n=29A001632
- Numbers whose least quadratic nonresidue (A020649) is 17.at n=34A025026
- Prime number spiral (clockwise, North spoke).at n=34A054551
- a(0)=1, a(1)=1, a(n) = largest prime <= a(n-1) + a(n-2).at n=24A055500
- a(0)=1, a(1)=2, a(n) = largest prime < a(n-1)+a(n-2).at n=25A055501
- Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d = 2, 4 or 6) and forming d-pattern=[6,2,4]; short d-string notation of pattern = [624].at n=12A078853
- 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=12A084975
- Smallest prime(k) such that prime(k)-prime(k-1) is equal to prime(k+n)-prime(k).at n=6A089795
- Numerator of -3*n + 2*(1+n)*HarmonicNumber(n).at n=10A093418
- List of triples of strictly non-palindromic primes without an ordinary prime in between.at n=24A138358
- Primes p such that reversal(p) - 13 is a square.at n=34A176371
- a(n) is the smallest prime q such that (q-p)/(r-q) = n, where p<q<r are consecutive primes (or 0 if none exist).at n=9A179256
- Monotonic ordering of set S generated by these rules: if x and y are in S and xy+3 is a prime, then xy+3 is in S, and 2 and 4 are in S.at n=34A192589
- Primes occurring in A213521.at n=37A213522
- Primes p such that 16*p^2 + 10*p + 1 divides 2^p - 1.at n=17A231916
- a(n) = 2*n^4 - floor(2^(1/4)*n)^4.at n=28A257854
- Bounding prime for the first k-Ramanujan prime.at n=39A277718
- Least prime q such that (r-q)/(q-p), where p<q<r are three consecutive primes, produces a new ratio <= 1, arranged by Farey fractions A038566/A038567.at n=28A279067
- Primes at the end of the first-occurrence gaps in A014320.at n=29A335367
- Primes p such that 2*p+1 and (2*p)^2+(2*p+1)^2 are also prime.at n=39A347110