45821
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 85.at n=1A031673
- Least prime in A001359 (lesser of twin primes) such that the distance (A053319) to the next twin is 6*n.at n=37A052350
- First term of weak prime sextet: p(m+1)-p(m) < p(m+2)-p(m+1) < p(m+3)-p(m+2) < p(m+4)-p(m+3) < p(m+5)-p(m+4).at n=16A054828
- Conjectured lower bound for the number of spheres of radius 1 that can be packed in a sphere of radius n.at n=38A121346
- Numbers k such that (9^k - 5^k)/4 is prime.at n=7A128346
- Primes p such that the polynomial x^2 + x + p generates only primes for x = 0, ..., 4.at n=27A187057
- Initial primes of 5 consecutive primes with consecutive gaps 2, 4, 6, 8.at n=12A190814
- Prime numbers p such that x^2 + x + p produces primes for x = 0..4 but not x = 5.at n=15A210363
- Smallest prime p such that n primes exist between the prime triple (p, p+2, p+6) and the next prime triple.at n=29A214450
- Number of 3Xn arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..2 3Xn array.at n=8A219383
- Seventh prime p such that (p+n)^2+n is prime but (p+j)^2+j is not prime for all 0<j<n.at n=33A238679
- Primes p for which p + 2, p^3 + 2 and p^5 + 2 are prime.at n=3A242326
- Lesser of twin primes of (29n + 1, 29n + 3).at n=22A248620
- Primes p such that p+2 is prime with prime(p+2)-prime(p)=6.at n=22A261533
- Primes that are values of A215240.at n=18A320041
- Primes of the form k^2 + 25.at n=45A346145
- Prime numbersat n=4745