43151
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- In ternary expansion of n, reading from left to right, digits occur in order ...,0,1,2,0,1,2,...at n=20A037079
- Base 3 digits are, in order, the first n terms of the periodic sequence with initial period 2,0,1.at n=9A037512
- Numbers k such that 111*2^k-1 is prime.at n=45A050581
- Primes whose digits can be rearranged to give the initial terms of the decimal expansion of Pi.at n=12A052493
- Numbers k such that (3^k + 10^k)/13 is prime.at n=7A128069
- Number of lakes in Conway's Game of Life with 8*n cells.at n=11A156228
- Least prime k such that x' = k has n solutions, where x' is the arithmetic derivative (A003415) of x.at n=32A189559
- Main diagonal of Ludic array A255127 (and A255129): a(n) = A255127(n,n).at n=32A255410
- a(n) is the smallest unused odd prime such that (a(1), ..., a(n)) forms a prime vector. a(1)=3, a(2)=5.at n=14A287939
- Numbers having in binary representation more zeros than their squares.at n=6A293655
- Number of nX4 0..1 arrays with every element equal to 2, 3, 6 or 7 king-move adjacent elements, with upper left element zero.at n=15A298142
- a(n) is the least k such that B(k^2) - B(k) = n, where B(m) is the binary weight A000120(m).at n=16A357750
- Numbers in whose base 3-representation every two consecutive digits and every three consecutive digits are distinct.at n=37A369635
- Prime numbersat n=4507