33119
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes that remain prime through 3 iterations of function f(x) = 7x + 6.at n=30A023290
- Primes that remain prime through 4 iterations of function f(x) = 7x + 6.at n=9A023318
- Primes of form k^2 - 5.at n=35A028877
- Primes such that least significant digit swapped with all other digits yields primes.at n=42A090934
- Father primes of order 11.at n=34A136080
- Least a(n) such that M(n)*(M(n)+a(n))-1 and M(n)*(M(n)+a(n))+1 are twin primes with M(i)=i-th Mersenne prime.at n=11A143385
- Least prime a(n) such that M(n)*(M(n)+a(n))-1 and M(n)*(M(n)+a(n))+1 are twin primes with M(i)=i-th Mersenne prime A000043(i).at n=11A143387
- a(n) is the smallest prime with both exactly an n number of 0's and exactly an n number of 1's in its binary representation. a(n) = 0 if no such prime exists.at n=7A145576
- Primes of the form prime(k)^2 + 2*prime(k-1) where prime(k) is the k-th prime number.at n=13A155820
- Primes p such that (p-7)/8 and 8p + 7 are both prime.at n=31A158238
- Primes which are the sum of three distinct positive cubes in two or more distinct ways.at n=33A180088
- Number of nX3 0..2 arrays x(i,j) with each element horizontally, vertically or antidiagonally next to at least one element with value 2-x(i,j).at n=3A229929
- Number of nX4 0..2 arrays x(i,j) with each element horizontally, vertically or antidiagonally next to at least one element with value 2-x(i,j).at n=2A229930
- T(n,k) = Number of n X k 0..2 arrays x(i,j) with each element horizontally, vertically or antidiagonally next to at least one element with value 2-x(i,j).at n=17A229934
- T(n,k) = Number of n X k 0..2 arrays x(i,j) with each element horizontally, vertically or antidiagonally next to at least one element with value 2-x(i,j).at n=18A229934
- Positions of records in A249442.at n=11A249440
- Partial sums of A299255.at n=26A299261
- Prime numbers p such that the product of their prime digits is equal to the product of their nonprime digits, where p has at least one prime digit.at n=25A369877
- Prime numbersat n=3551