40289
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Largest prime <= n!.at n=6A006990
- Primes that remain prime through 3 iterations of function f(x) = 8x + 7.at n=16A023294
- 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 23.at n=9A031611
- Largest prime < n!-1.at n=5A037154
- Lower prime of the second gap of 2n between primes.at n=26A046789
- Base 4 expansion of 1/n has equal percentage of each digit 0,1,2,3.at n=29A074709
- Base 4 expansion of 1/n has equal percentage of each digit 0,1,2,3 (primitive values of n only).at n=26A074900
- Primes for which the five closest primes are smaller.at n=27A075037
- Number of permutations (p(1),p(2),...,p(n)) of (1,2,...,n) such that p(i)-i is in {-2,-1,3} for all i=1,...,n.at n=37A079999
- Primes p such that (r-p)/log(p) > 4, where r is the next prime after p.at n=16A082889
- Primes p such that (r-p)/log(p) > 5, where r is the next prime after p.at n=5A082890
- prime(k) for those k where floor((2*(prime(k+1)-prime(k))*PrimePi(k) mod (8*k))/k) = m with m = 14.at n=3A109568
- Numbers appearing in A122072 at least four times.at n=33A122390
- Primes p such that there exist primes p'<p"<p"'<p""<p such that the concatenation of any two among the {p,...,p""} is prime.at n=5A139005
- Primes p such that q-p = 54, where q is the next prime after p.at n=1A204666
- Least prime p such that 3 + 4*prime(p*n) = 5*prime(q*n) for some prime q.at n=35A260886
- Primes p such that 4*p+3, 6*p+5 and 8*p+7 are all primes.at n=43A329551
- a(n) is the first prime p such that each of the first n primes divides at least one of the composites between p and the next prime, but prime(n+1) does not divide any of these.at n=24A341640
- a(n) is the least prime p such that there are exactly n squarefree numbers strictly between p and the next prime, or -1 if there is no such p.at n=33A378111
- Prime numbersat n=4231