34253

Properties

Appears in sequences

• a(n) = smallest number k such that Product_{i=1..k} prime(i)/(prime(i)-1) > n.at n=23A005579
• 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=[6, 2,6]; short d-string notation of pattern = [626].at n=29A078854
• Primes p such that the differences between the 5 consecutive primes starting with p are (6,2,6,6).at n=5A078960
• Primes p such that p-3 and p+3 are divisible by a cube.at n=30A089201
• Largest of six consecutive primes the sum of the digits of each of which is prime.at n=24A106720
• Primes p such that continued fraction of (1 + sqrt(p))/2 has period 7: primes in A146332.at n=41A146352
• a(n) = the smallest prime > (1/EulerGamma)^n.at n=18A172527
• Primes p such that 3*p+4, 5*p+6 and 7*p+8 are also prime.at n=30A173879
• Primes p such that 2p+1, 3p+2 and 5p-2 are also primes.at n=27A178068
• Number of 2 X 2 matrices having all terms in {1,...,n} and determinant >= n.at n=16A211061
• Fundamental discriminants d uniquely characterizing all complex biquadratic fields Q(sqrt(-3),sqrt(d)) which have 3-class group of type (3,3) and second 3-class group isomorphic to SmallGroup(729,37).at n=18A250240
• Let b(n) = Product_{i=1..n} p_i/(p_i - 1), p_i = i-th prime; a(n) = minimum k such that b(k) >= n.at n=23A256968
• Duplicate of A005579.at n=23A256969
• Denominators of upper primes-only best approximates (POBAs) to Pi; see Comments.at n=21A265811
• Primes p such that (p*s) mod q and (p*s) mod r are a pair of twin primes, where q,r,s are the next primes after p.at n=17A338751
• Prime numbersat n=3658