24697
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes that remain prime through 3 iterations of function f(x) = 5x + 8.at n=32A023286
- 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 16.at n=15A031604
- Numbers k such that A003285(k) = A003285(k+1) == 1 (mod 2).at n=1A065304
- The n-th highly composite number equals the a(n)-th composite number, for n >= 3.at n=24A074329
- Integers n such that n is prime and x is prime, where (x,y) is the smallest solution to the Pell equation with D = n.at n=22A109748
- Consider the array T(n, m) = m-th prime of the form n*i(i+1)/2 +/- 1. This sequence is the main diagonal.at n=20A125765
- Prime numbers p such that p +- ((p-1)/4) are primes.at n=25A137705
- Primes p such that continued fraction of (1 + sqrt(p))/2 has period 17 : primes in A146340.at n=33A146362
- Numbers with all different digits such that each digit leaves the same nonzero remainder when each is divided into the number.at n=12A152852
- a(n) = smallest number m such that in 1,2,..,m written in base n, no two of the n digits occurs the same number of times.at n=8A152925
- a(n) = 56*n^2 + 1.at n=21A158660
- a(n) = ((3+sqrt(5))*(4+sqrt(5))^n + (3-sqrt(5))*(4-sqrt(5))^n)/2.at n=5A163064
- Primes of the form floor(binomial(k,2)/4).at n=37A171574
- Primes of the form 9*n^3 + 1.at n=3A201263
- Expansion of Sum_{n>=0} (3*n)!/n!^3 * x^(2*n)/(1-x)^(3*n+1).at n=7A208425
- Fundamental discriminants of real quadratic number fields with class number 9.at n=28A218159
- Primes p such that p+12, p+1234 and p+123456 are also prime.at n=10A236304
- Centered 21-gonal primes.at n=10A276261
- a(n) = Sum_{k=0..n} (-1)^(n-k)*binomial(n, k)*|Lah(n, k)|. Inverse binomial convolution of the unsigned Lah numbers A271703.at n=7A344050
- First of three consecutive primes p,q,r such that p+q, p+r and q+r are all triprimes.at n=10A362203