58229

Properties

Appears in sequences

• Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[2, 6,6]; short d-string notation of pattern = [266].at n=16A078849
• Primes from merging of 5 successive digits in decimal expansion of Zeta(2) or (Pi^2)/6.at n=7A105378
• Triangle read by rows: a(1,1) = 1. a(m,m) = sum of all terms in rows 1 through m-1. a(m,n) = a(m-1,n) + (sum of all terms in rows 1 through m-1), for n < m.at n=34A159927
• Number of n X 1 1..3 arrays with no element with value z exactly a city block distance of z from another element with value z.at n=16A209367
• The first member of a twin prime pair whose sum equals the sums of k consecutive smaller pairs of twin primes, k=3.at n=36A226692
• Prime p such that p and p+2 are twin primes and p^2+p-1 p^2+p+1 are also twin primes.at n=16A228968
• a(n) is the number of permutations of length n that avoid the pattern 321 and the mesh pattern (12, 279) or the same sequence for the mesh patterns (12, 309), (12, 345), (12, 465).at n=11A289607
• Initial member of 6 consecutive primes a, b, c, d, e, f such that both (f + a)/(d - c) and (e + b)/(d - c) are prime.at n=24A293619
• Prime numbersat n=5898