47521

Properties

Appears in sequences

• Primes of form k^2 - 3.at n=35A028874
• Primes that are palindromic in base 6.at n=31A029974
• a(n) is the smallest value of k such that number of non-unitary prime divisors of k-th Catalan number, A000108(k) = C(2*k,k)/(k+1) equals n.at n=36A081395
• Primes p such that p*(p-2) divides 2^(p-1)-1.at n=14A081762
• Primes p such that p*(p-2) divides 3^(p-1)-1.at n=12A081764
• Triangle T(n,k) read by rows: the coefficient [x^n] of x^2/(1-(k+1)*x-x^3) in row n, columns 0 <= k <= n.at n=41A117716
• Prime numbers p of the form 10k+1 for which the pentanacci quintic polynomial x^5-x^4-x^3-x^2-x-1 modulus p is factorizable into five binomials.at n=9A135843
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 1, -1), (0, 1, 1), (1, -1, 1), (1, 1, -1)}.at n=9A149026
• Primes of the form 6*k^2 - 5.at n=26A201791
• Primes p such that (p+nextprime(p))/2 is a perfect square.at n=31A225195
• Sixth 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=31A238678
• Lesser of consecutive primes whose average is a perfect power.at n=34A242380
• Numbers n such that (n^n-2)/(n-2) is an integer.at n=37A242787
• Primes of form n^2 + 1296.at n=24A256834
• Primes p where an integer r with 1 < r < p exists such that r^r == 1 (mod p^2).at n=2A259505
• Numbers n such that (n-1)^2-1 divides 2^(n-1)-1.at n=15A260406
• Coefficient of x^2 in minimal polynomial of the continued fraction [1^n,4,1,1,1,...], where 1^n means n ones.at n=10A265802
• Primes p such that p+12, (p+1)/2, and (p+13)/2 are also prime.at n=19A283869
• "Erase or triple": list of the successive integers that produce the next "altitude" record (see the comments section).at n=16A300150
• Numbers k such that -3 is a quadratic residue (not necessarily coprime) modulo k, k + 1, k + 2 and k + 3.at n=26A318527