18301

Properties

Appears in sequences

• Primes p such that x^61 = 2 has no solution mod p.at n=36A059230
• Number of labeled T_0-hypergraphs with n hyperedges (empty hyperedges and multiple hyperedges included).at n=3A059586
• Numbers p from A001125 such that 2*p-3 is prime.at n=24A063939
• 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, 4,2]; short d-string notation of pattern = [642].at n=24A078855
• Primes of the form 5k^2 + 5k + 1.at n=30A090562
• G.f.: Product((1+x^i)/(1-x^i),i=1..n-1)/(1-x^n), with n = 5.at n=40A091773
• Primes p = prime(i) such that p(i)# - p(i+1) is prime.at n=16A093078
• Primes of the form p = prime(k) = (prime(k+3)+prime(k-1))/2.at n=18A126238
• Least prime P such that 3*p(n)*P*(3*p(n)*P+1)-1, 3*p(n)*P*(3*p(n)*P+1)+1,3*p(n)*P*(3*p(n)*P+3)-1,3*p(n)*P*(3*p(n)*P+3)+1 are all primes with p(i) = i-th prime.at n=25A137839
• Primes congruent to 16 mod 53.at n=39A142546
• Primes congruent to 11 mod 59.at n=34A142738
• Number of permutations of 1..n containing the relative rank sequence { 251364 } at any spacing.at n=3A159160
• Primes congruent to 1 mod 61.at n=36A212378
• Number of partitions of n such that 2*(greatest part) >= (number of parts).at n=36A237755
• Primes p such that p+12, (p+1)/2, and (p+13)/2 are also prime.at n=13A283869
• Prime(r) for r such that prime(r) - prime(r-1) = 12 and prime(r-1) - prime(r-2) = 2.at n=44A299110
• a(n) = numerator of Sum_{k=2..A335138(n)} abs(A309229(n, k))/k.at n=20A335416
• Primes p such that (p^2 + 1)/2 and 2*p^2 - 1 are also prime.at n=43A340865
• a(n) is the number of distinct solution sets to the quadratic equations u*x^2 + v*x + w = 0 with integer coefficients u, v, w, abs(u) + abs(v) + abs(w) <= n having a negative discriminant.at n=45A381710
• Prime numbersat n=2097