18253
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- A variant of the cuban primes: primes p = (x^3 - y^3)/(x - y) where x = y + 2.at n=14A002648
- Primes that remain prime through 3 iterations of function f(x) = 9x + 2.at n=40A023296
- Primes of the form m*rad(m)+1, where rad = A007947 (squarefree kernel).at n=42A078324
- Primes p such that p-3 and p+3 are divisible by a cube.at n=17A089201
- Primes p such that p + 2^2, p + 4^2 and p + 6^2 are also primes.at n=28A092475
- Number of partitions of n with at most two even parts.at n=44A096778
- a(n) = n^3 + n^2 + 1.at n=26A098547
- Day numbers in Chris Cagle's song "What a beautiful day".at n=8A109869
- Primes of the form k^3 + k^2 + 1.at n=10A120479
- Primes of the form p = prime(k+1) such that prime(k) = (prime(k+3)+prime(k-1))/2.at n=17A126239
- Primes congruent to 22 mod 59.at n=31A142749
- Primes congruent to 14 mod 61.at n=33A142812
- Primes p such that continued fraction of (1 + sqrt(p))/2 has period 7: primes in A146332.at n=30A146352
- Primes p of the form : p+p^2+p^3-+8=prime.at n=15A154823
- a(n) = 676*n + 1.at n=26A158386
- a(n) = 12*n^2 + 1.at n=39A158480
- Number of permutations of 1..n containing the relative rank sequence { 146253 } at any spacing.at n=3A159118
- Primes p such that the order of 2 mod p is a square.at n=28A213049
- 50k^2-40k-17 interleaved with 50k^2+10k+13 for k=>0.at n=39A217893
- Primes p for which exactly four bases b with 1 < b < p exist such that p is a base b Wieferich prime.at n=35A255207