19751

Properties

Appears in sequences

• Primes that remain prime through 3 iterations of function f(x) = 2x + 9.at n=38A023276
• Numerators of continued fraction convergents to sqrt(817).at n=7A042576
• Numerators of continued fraction convergents to sqrt(986).at n=4A042908
• Integer part of log(n^n)^(1 + log(log(1 + n))).at n=26A062479
• 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=24A078848
• Numbers k such that 5^k + 2 is a prime.at n=10A087885
• Integers n such that 10^n+99 is prime.at n=30A110980
• Sophie Germain primes for which the reversal is also a Sophie Germain prime.at n=28A118573
• Primes of the form p = prime(k) = (prime(k+3)+prime(k-1))/2.at n=19A126238
• Primes congruent to 45 mod 59.at n=39A142772
• Primes congruent to 48 mod 61.at n=37A142846
• Primes p such that p-1 and p+1 each contain at least one cubed prime in their prime factorization.at n=28A162870
• Primes p such that the sum of the digits of p^2 is 16.at n=42A165459
• Primes p of the form 4*k+3 such that p+2 is prime and p-1 is nonsquarefree.at n=21A175606
• Primes of the form 250n + 1.at n=21A179231
• Mountain emirps.at n=24A182721
• a(n) = the first member of a twin prime pair whose sum equals the sums of n consecutive pairs of twin primes.at n=40A226719
• Primes p such that p+2, p+8, and p+12 are all prime.at n=30A233540
• a(n) = (4*n^3 - 6*n^2 + 20*n + 3)/3.at n=25A322597
• G.f. A(x) satisfies A(x) = 1 + x/(1-x^2)^3 * A(x)^2.at n=9A390102