18617
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 24.at n=4A031612
- Lower prime of a difference of 20 between consecutive primes.at n=37A031938
- Least prime in A031938 (lesser of primes differing by 20) whose distance to the next 20-twin is 6*n.at n=33A052359
- Smallest prime p such that n is a solution mod p of x^4 = 2, or 0 if no such prime exists.at n=17A065902
- Prime(n) and prime(n+3) use the same digits.at n=21A069795
- Smallest prime factor of googol + n that exceeds 13, or 1 if googol + n is 13-smooth.at n=16A076848
- a(n) = prime(A096475(n)).at n=19A096476
- Primes p whose period of reciprocal equals (p-1)/13.at n=3A098680
- Primes p such that p - q = 24, where q is the previous prime before p; or prime numbers preceded by precisely 23 composite numbers.at n=30A126720
- Prime numbers, isolated from neighboring primes by >14.at n=30A137874
- Prime numbers, isolated from neighboring primes by >16.at n=16A137875
- Primes congruent to 14 mod 53.at n=39A142544
- Primes congruent to 32 mod 59.at n=34A142759
- Primes congruent to 12 mod 61.at n=38A142810
- Largest primes of 'a' consecutive primes whose sum is a prime in A152471.at n=37A152472
- Prime numbers with gaps larger than 18 towards both neighboring primes.at n=7A163111
- Primes of the form 5*x^2 - 3*y^2, where x and y are consecutive numbers.at n=25A176470
- Primes of the form 16n^2 + 121.at n=12A202083
- Numbers k such that (25*10^k - 241)/9 is prime.at n=21A281646
- Primes p = x^2 + y^2 such that x - y is a cube greater than one.at n=22A282405