37493
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes of the form (k+1)*prime(k) + k*prime(k+1).at n=23A097241
- G.f. satisfies A(x) = 1 + x*(1 + x*A(x)^5)^3.at n=7A137962
- Centered heptagonal prime numbers.at n=24A144974
- Primes p in A068209 whose squares never divide (x+1)^p-x^p-1 and x^x+(x+1)^(x+1) for the same x.at n=0A165284
- Generating function satisfies A(x)=1-xA(x)+2x(A(x))^2-x^2(A(x))^3+x^2(A(x))^4.at n=8A200740
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 555", based on the 5-celled von Neumann neighborhood.at n=32A272922
- Prime p1 of consecutive primes p1, p2, where p2 - p1 = 8, and p1, p2 are in different centuries.at n=25A287049
- Expansion of 1/((1-x)^4 - 8*x^4)^(1/4).at n=14A376835
- Prime numbersat n=3968