27851

Properties

Appears in sequences

• Smallest prime p(k) such that the number of distinct prime divisors of all composite numbers between p(k) and p(k+1) is n.at n=46A075580
• Duplicate of A075580.at n=46A077132
• prime(k) for those k where floor((2*(prime(k+1)-prime(k))*PrimePi(k) mod (8*k))/k) = m with m = 9.at n=25A109563
• Primes p such that q-p = 32, where q is the next prime after p.at n=3A126784
• Primes p, with index k, such that p-k and p+k are both prime.at n=38A143794
• Number of n X n binary arrays symmetric about main diagonal with all ones connected only in a 1100-0101-0111 pattern in any orientation.at n=11A147204
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (0, 1, -1), (0, 1, 1), (1, 0, -1), (1, 1, -1)}.at n=9A149160
• Primes p such that (p-1)*p*(p+1)-p-2 and (p-1)*p*(p+1)+p+2 are primes.at n=28A154942
• Primes p such that p^2 + 6, p^2 + 12 and p^2 + 18 are all prime.at n=12A173627
• Primes of the form 2*k^2 + 3.at n=25A201473
• Primes of the form 8n^2 + 3.at n=13A201611
• The number of partitions of n into at least 3 parts from which we can form every partition of n into 3 parts by summing elements.at n=42A236970
• Number of fully chiral integer partitions of n.at n=40A330228
• Primes in A340180.at n=44A342644
• Number of integer partitions of n whose distinct parts are the binary indices of some prime number.at n=47A372887
• Prime numbersat n=3042