18119

Properties

Appears in sequences

• Conjectured number of irreducible multiple zeta values of depth 7 and weight 2n+19.at n=21A022495
• Numbers whose least quadratic nonresidue (A020649) is 17.at n=13A025026
• Primes that are palindromic in base 9.at n=36A029977
• a(n) is smallest safe prime (A005385) such that a(n) + 12*n is the next safe prime, i.e., x = (a(n) - 1)/2 and x + 6*n are closest Sophie Germain primes.at n=26A059327
• Primes with 17 as smallest positive primitive root.at n=19A061329
• a(n) = p.q in decimal notation where p = prime(n) and q is the smallest prime (A066065(n)) such that the concatenation p.q is a prime.at n=41A066064
• Primes which are the concatenation of numbers n_1, n_2, n_3, in that order, with n_1 + n_2 = n_3 (leading zeros are forbidden for nonzero n_i).at n=29A067860
• Take A000040, omit commas: 23571113171923..., select 5-digit primes seen when scanning from left.at n=20A073038
• Safe primes (A005385) (p and (p-1)/2 are primes) such that 12*p+1 is also prime.at n=42A075707
• 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=[2,6,4]; short d-string notation of pattern = [264].at n=22A078848
• Primes p such that the differences between the 5 consecutive primes starting with p are (2,6,4,2).at n=10A078948
• Primes in which the digit string can be partitioned into three parts such that the sum of the first two is equal to the third, and the second part is nonzero.at n=28A088291
• Upper prime of a difference of 22 between consecutive primes.at n=33A098976
• Primes from merging of 5 successive digits in decimal expansion of the Champernowne Constant.at n=30A104948
• Primes p such that p + 2 and p*(p + 2) + 2 are primes.at n=34A108013
• Odd numbers n for which 17 is the smallest i (>= 1) with Jacobi symbol J(i,n) getting either a value 0 or -1.at n=20A112077
• Number of monomial terms in expansion of n-th coefficient of replicable function as a polynomial in [c1, c2, c3, c4, c5, c7, c8, c9, c11, c17, c19, c23].at n=48A112331
• Right truncatable primes in base 6 (written in decimal form).at n=31A129672
• An example of a simple prime-generating algorithm similar to Rowland's (A106108) that is a particular instance of a more general algorithm (see comments).at n=43A141537
• Primes congruent to 46 mod 53.at n=39A142576