18397
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 55.at n=22A020394
- 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 12.at n=13A031600
- Denominators of continued fraction convergents to sqrt(617).at n=9A042185
- Numbers n such that n and n+4^k are all primes for k=1,2,3.at n=37A049493
- Numbers p from A001125 such that 2*p-3 is prime.at n=25A063939
- List of Ormiston prime pairs.at n=3A072274
- Leading diagonal of triangle in A072467.at n=20A072468
- a(2*n), a(2*n+1) is the smallest consecutive prime pairs with at least n distinct common decimal digits.at n=11A076491
- Primes p such that p + 2^2, p + 4^2 and p + 6^2 are also primes.at n=29A092475
- a(n) = [B(2n,5)/B(2n)] ( [x] = floor(x), see comment for B(n,k) definition ).at n=3A096049
- Weighted tribonacci (1,2,4), companion to A102001.at n=10A102002
- Number of distinct values of the (n-1)st difference of permutations of 1..n.at n=11A130803
- Primes congruent to 6 mod 53.at n=36A142536
- Primes congruent to 36 mod 61.at n=33A142834
- Centered heptagonal prime numbers.at n=19A144974
- Primes p of the form 4*k+1 for which s=26 is the least positive integer such that s*p-(floor(sqrt(s*p)))^2 is a square.at n=21A145050
- Smaller member of a pair (p,q) of cousin primes such that p and q are in different centuries.at n=18A160440
- Primes of form 5+38*n^2.at n=16A173554
- Primes p such that sod(p)=2*sod(nextprime(p)).at n=34A175546
- Number of 3 X n 0..2 arrays with horizontal differences mod 3 never 1, vertical differences mod 3 never -1, and rows and columns lexicographically nondecreasing.at n=37A229446