68819
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numbers k such that 125*2^k+1 is prime.at n=21A032412
- E.g.f.: exp((exp(p*x)-p-1)/p+exp(x)) for p=12.at n=5A036082
- Lesser p of twin primes (p,q) such that there exists an integer between sqrt(2p) and sqrt(2q).at n=28A145701
- Primes of the form 9*k^2-10*k+3.at n=19A154261
- Twin prime pairs p, p+2 such that p+(p+2)+1 and p*(p+2)+1 are both square.at n=34A166564
- Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 2,3,1,1,0,0,0 for x=0,1,2,3,4,5,6.at n=5A197720
- Lesser of consecutive primes whose sum is of the form k*(k+2), for some integer k.at n=37A242384
- Number of length n+3 0..4 arrays with no four elements in a row with pattern aabb (with a!=b) and new values 0..4 introduced in 0..4 order.at n=6A242580
- T(n,k)=Number of length n+3 0..k arrays with no four elements in a row with pattern aabb (with a!=b) and new values 0..k introduced in 0..k order.at n=51A242584
- First of three consecutive primes p, q, r such that p + q - r, p^2 + q^2 - r^2 and p^3 + q^3 - r^3 are all prime.at n=28A358744
- Primes p such that the 10's complement A089186(p) and the concatenations of p and A089186(p) and of A089186(p) and p are all prime.at n=43A372082
- Primes p such that p*nextprime(p)+1 and p + nextprime(p)+1 are both perfect squares where nextprime(p) is the smallest prime that is larger than p.at n=17A375912
- Prime numbersat n=6840