34519

Properties

Appears in sequences

• Numbers k such that 4*10^k + 7*R_k is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=16A056708
• Odd numbers n containing 65536 as the highest power of 2 in their Collatz (3x+1) iteration.at n=8A247716
• Value of prime number D for incrementally largest values of minimal x satisfying the equation x^2 - D*y^2 = 2.at n=41A336786
• Values of prime numbers, D, for incrementally largest values of minimal y satisfying the equation x^2 - D*y^2 = 2.at n=38A336788
• Primes p such that p, x+y, x-y, p-x*y and p+x*y are prime, where y = p mod 5 and x = (p-y)/5.at n=31A342771
• G.f. A(x) satisfies: A(x) = 1 + x + x^2 + x^3 + x^4 * A(x/(1 - 2*x)) / (1 - 2*x).at n=13A351343
• Expansion of 1 / ((1-x)^4 - x^7).at n=18A392545
• Prime numbersat n=3689