18233
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 41.at n=36A020380
- Least prime in A031936 (lesser of 18-twins) whose distance to the next 18-twin is 2*n.at n=9A052358
- Smallest prime p having n different cycles in decimal expansions of k/p, k=1..p-1.at n=42A054471
- Primes p such that x^53 = 2 has no solution mod p.at n=37A059258
- a(n) = 10*n^2 - 6*n + 1.at n=42A087348
- Where records occur in A082467.at n=30A129302
- Primes of the form n^2+8.at n=13A138338
- Primes congruent to 2 mod 59.at n=37A142729
- Primes congruent to 55 mod 61.at n=36A142853
- Primes of the form : 2*p+1=p1(prime), 2*p1+3=p2(prime), 2*p2+5=p3(prime).at n=33A143912
- Largest primes of 'a' consecutive primes whose sum is a prime in A152471.at n=36A152472
- Primes of the form 10*k^2+14*k+5, k >= 0.at n=23A154412
- a(n) is the smallest prime p beginning with 2n such that the difference between p and the next prime is 2n.at n=8A162357
- Primes of the form 5*x^2 - 3*y^2, where x and y are consecutive numbers.at n=24A176470
- a(n) = A139602(m) such that for any k>m, A139602(k) > A139602(m).at n=18A189888
- Primes of the form (m^2+1)/10.at n=40A207337
- Number of 2 X 2 matrices with all elements in {0,1,...,n} and determinant in {0,1,...,n}.at n=20A209995
- Prime numbers > 10000 such that all the substrings of length >= 4 are primes (substrings with leading '0' are considered to be nonprime).at n=25A211686
- Primes congruent to 1 mod 53.at n=37A212377
- Number of n X 5 arrays of the minimum value of corresponding elements and their horizontal or vertical neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..1 n X 5 array.at n=23A219499