18541
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 63.at n=24A020402
- Increasing gaps among twin primes: the largest prime of the starting twin pair.at n=11A036061
- Subminimal numbers, from minimal numbers by analogy with subfactorials.at n=53A079717
- Primes p of Erdos-Selfridge class 5+ with largest prime factor of p+1 not of class 4+.at n=1A129473
- Prime numbers p such that p^3 - p + 1 and p^3 + p - 1 are both primes.at n=26A137463
- Primes congruent to 15 mod 59.at n=33A142742
- Primes congruent to 58 mod 61.at n=31A142856
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/9.at n=12A152309
- Expansion of (1+12*x+28*x^2+12*x^3+x^4)/(1-x)^5.at n=9A160767
- Greater of twin primes p such that 3*p-2 is also greater of twin primes.at n=10A177336
- Number of zero-sum -n..n arrays of 5 elements with first and second differences also in -n..n.at n=10A201876
- E.g.f: A(x) = Sum_{n>=0} (1 + x*A(x)^n)^n * x^n/n!.at n=6A228563
- Primes p such that p-2 and q are primes, where q is concatenation of binary representations of p and p-2: q = p * 2^L + p-2, where L is the length of binary representation of p-2: L=A070939(p-2).at n=24A232237
- n-th prime p such that (p+n)^2+n is prime but (p+j)^2+j is not prime for all 0<j<n.at n=13A238663
- Primes p such that p - 2 and p^3 - 2 are also prime.at n=43A240126
- Expansion of e.g.f. exp( x*C(x)^3 ) where C(x) = (1 - sqrt(1-4*x))/(2*x) is the g.f. of the Catalan numbers, A000108.at n=5A250917
- Partial sums of A299259.at n=27A299265
- a(n) is the smallest k >= 1 such that k*n is a Moran number.at n=47A337731
- Primes p whose reverse q is a semiprime, and of p+q and its reverse one is a prime and the other is a semiprime.at n=13A350781
- G.f.: Sum_{k>=0} x^k * Product_{j=1..4*k} (1 + x^j)/(1 - x^j).at n=21A385090