51869
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Smaller member of a twin prime pair with a triangular sum.at n=16A086816
- Balanced primes (A090403) of index 3.at n=27A096707
- Highly cototient numbers that are prime, or intersection of A000040 and A100827.at n=44A105440
- Odd primes of the form (1+n)*(2+2*n)+n*(3+2*n) = 4*n^2+7*n+2.at n=29A171749
- Least prime such that whenever 2*a(n) = p+q with p and q prime, one has p,q > prime(n).at n=43A185446
- Least prime such that whenever 2*a(n) = p+q with p and q prime, one has p,q > prime(n).at n=44A185446
- Least prime such that whenever 2*a(n) = p+q with p and q prime, one has p,q > prime(n).at n=45A185446
- Least prime such that whenever 2*a(n) = p+q with p and q prime, one has p,q > prime(n).at n=46A185446
- Least prime such that whenever 2*a(n) = p+q with p and q prime, one has p,q > prime(n).at n=47A185446
- Values occurring in A185446.at n=12A185448
- Smallest prime q such that 2n+1 = p^3 - 2q for some odd prime p, or 0 if no such prime exists.at n=41A224730
- Number of partitions of n whose median is a part.at n=42A238478
- Primes p such that p+2 is prime with prime(p+2)-prime(p)=6.at n=24A261533
- a(n) is the number of permutations of length n that avoid the pattern 321 and the mesh pattern (12, 117) or the same sequence for the mesh patterns (12, 213), (12, 342), (12, 348).at n=12A289588
- Number of multiples of n which have only distinct and nonzero digits in base 10.at n=19A328287
- Numbers k such that w(k), w(k+1), and w(k+2) are all odd, where w is A360519.at n=17A361106
- The five digits of a(n) and their four successive absolute first differences are all distinct.at n=29A365257
- Numbers s > 0 such that 8*s^2 + 64*s + 57 is a square.at n=10A387469
- Prime numbersat n=5307