19259

Properties

Appears in sequences

• Lesser of two consecutive primes such that p + n*q is a perfect square, p < q.at n=22A064543
• Safe primes (A005385) (p and (p-1)/2 are primes) such that 12*p+1 is also prime.at n=44A075707
• Numbers k such that (17*10^(k-1) - 71)/9 is a plateau prime.at n=9A082702
• Let n range through the odd numbers skipping multiples of 5; a(n) = n-th prime ending in n.at n=23A089779
• Primes congruent to 25 mod 59.at n=38A142752
• Primes congruent to 44 mod 61.at n=32A142842
• Number of binary strings of length n with no substrings equal to 0001 0101 or 1000.at n=14A164471
• Constant term in the reduction of the n-th Fibonacci polynomial by x^3->x^2+x+1. See Comments.at n=15A192616
• The prime(n)-th prime number ending in prime(n), or 0 if none exists.at n=16A238331
• Second prime p such that (p+n)^2+n is prime but (p+j)^2+j is not prime for all 0<j<n.at n=35A238674
• Number of partitions of n containing m(3) as a part, where m denotes multiplicity.at n=41A240488
• a(n) = floor(5^n/4^(n-1)).at n=37A241203
• Primes p such that p^7 + 2 is also prime.at n=40A261537
• n such that A275391(n) = n-2.at n=57A275800
• Solution (a(n)) of the complementary equation a(n) = 2*a(n-1) - a(n-2) + b(n-1) + b(n); see Comments.at n=35A305330
• Primes p such that (p+nextprime(p))/6 is prime and 6*p is the sum of two consecutive primes.at n=15A339775
• Discriminants of imaginary quadratic fields with class number 35 (negated).at n=28A351673
• Expansion of e.g.f. -exp(x * sqrt(1-4*x)).at n=6A362158
• Prime numbersat n=2184