613566757
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Number of cubic residues mod 2^n.at n=30A046630
- Number of cubic residues mod 4^n.at n=15A046632
- Number of cubic residues mod 8^n.at n=10A046636
- Expansion of 1/(1 - x - x^2 - 2*x^3).at n=30A077947
- Expansion of 1/(1+x-x^2+2*x^3).at n=30A077972
- a(n) = a(n-3) + 2^(n-4) with a(1) = 1, a(2) = 2, a(3) = 1.at n=32A166578
- This is a sequence demonstrating a congruence property of second order exponential functions. Let f(n) = a^(b^n) + c where a,b,c & n belong to N, a, b & c fixed. Then f(n + k*phi(phi(f(n)) is congruent to 0 (mod(f(n)). Here k belongs to N. This is a sequence of quotients generated by f(n + k*f(n))/f(n) when a & b = 2, c= 3 and n = 1. when a & b = 2 and c =3 when n = 1.at n=1A171407
- a(n) = a(n-1) + a(n-2) + 2*a(n-3) with a(0)=2, a(1)=1, a(2)=5.at n=29A226308
- Number of (n+1) X (1+1) 0..2 arrays with each row and column divisible by 7, read as a base-3 number with top and left being the most significant digits.at n=30A263366
- Prime numbersat n=31995915