42689
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numbers k such that 2^k - 3 is prime.at n=44A050414
- Numbers k such that (10^k - 1)/9 + 6 is prime.at n=16A097684
- Prime numbers p for which the quintic polynomial x^5 - x - 1 modulo p completely factors into linear polynomials.at n=37A135844
- Prime numbers p not of the form 10*k+1 for which the quintic polynomial x^5-x-1 modulus p is factorizable into five binomials.at n=27A135845
- Primes of the form 20n^2+8n+1.at n=18A154405
- Number of n X 3 array permutations with each element making zero or one knight moves.at n=5A189146
- Number of nX6 array permutations with each element making zero or one knight moves.at n=2A189149
- T(n,k)=Number of nXk array permutations with each element making zero or one knight moves.at n=30A189150
- T(n,k)=Number of nXk array permutations with each element making zero or one knight moves.at n=33A189150
- 1/4 the number of (n+1)X(n+1) 0..3 arrays with every 2X2 subblock having one, three or four distinct clockwise edge differences.at n=1A210148
- 1/4 the number of (n+1) X 3 0..3 arrays with every 2 X 2 subblock having one, three or four distinct clockwise edge differences.at n=1A210150
- T(n,k)=1/4 the number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having one, three or four distinct clockwise edge differences.at n=4A210156
- Numbers k for which 2*4^k - 27 is prime.at n=11A275767
- Prime numbers p such that 2^p - 3 is prime.at n=4A283266
- Primes p such that p + 8, p + 12 and p + 20 are also primes.at n=42A384299
- Prime numbersat n=4462