62981

Properties

Appears in sequences

• Prime quadruples: numbers k such that k, k+2, k+6, k+8 are all prime.at n=27A007530
• a(n) = a(1) + a(2) + ... + a(n-1) - a(m) for n >= 4, where m = 2^(p+1) + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1, a(2) = 3, and a(3) = 1.at n=18A049917
• Primes at which the difference pattern X,2,4,2,Y (X and Y >= 6) occurs in A001223.at n=13A052165
• Twin primes belonging to packs of four or more twin pairs.at n=10A068220
• Lesser of the first pair of three successive prime pairs (no isolated primes occur in between). Least of the six successive primes which are member of prime pairs.at n=14A090953
• Prime means of 12 horizontal, vertical and main diagonal sums associated with primes in A094458.at n=28A094459
• Least prime p of a quartet of 4 distinct primes {p, p+2, q, q+2} such that each digit of q is the same as the corresponding digit of p except that each 6 in p corresponds to a 9 in q and vice versa.at n=12A122712
• First of six consecutive primes that are three sets of twin primes.at n=13A136143
• Number of n X n binary arrays with all ones connected only in a 1100-0100-1111 pattern in any orientation.at n=7A146650
• Number of n X n binary arrays symmetric under horizontal and vertical reflection with all ones connected only in a 1100-0100-1111 pattern in any orientation.at n=16A146652
• Number of n X n binary arrays symmetric under horizontal and vertical reflection with all ones connected only in a 1100-0100-1111 pattern in any orientation.at n=17A146652
• Primes p such that p^4 + p +/- 1 are twin primes.at n=26A236951
• a(n) equals the smallest Sophie Germain prime q such that pi_(p,2p+1)(q,10,(1,3)) - pi_(p,2p+1)(q,10,(3,1)) = n, where pi_(p,2p+1)(q,10,(b,c)) equals the number of Sophie Germain primes A005384(i) such A005384(i) <= q and (A005384(i),A005384(i+1)) == (b,c) (mod 10).at n=15A333084
• Prime numbersat n=6317