19577

Properties

Appears in sequences

• Largest label f(T) given to a rooted tree T with n nodes in Matula-Goebel labeling.at n=8A005518
• Numbers k such that the continued fraction for sqrt(k) has period 75.at n=17A020414
• Primes prime(k) for which A049076(k) = 5.at n=3A049081
• Primes for which A049076 >= 4.at n=18A049090
• Primes for which A049076(p) >= 5.at n=7A049203
• Prime recurrence: a(1)=8, a(n+1) = a(n)-th prime.at n=5A057452
• a(1) = 2; a(n) = smallest prime > a(n-1) such that the sum of any three nondecreasing terms, chosen from a(1), ..., a(n-1) and a(n), is unique.at n=19A060276
• Class 7- primes.at n=5A081426
• Irregular primes the indices of whose indices are irregular primes of order two.at n=1A090887
• Dispersion of the primes (an array read by downward antidiagonals).at n=39A114537
• Primes of the form p^2 + q^8 where p and q are primes.at n=7A122710
• Balanced primes p of the form (r+q+s-1)/2, where r, q, s are consecutive primes.at n=6A129191
• a(1)=1, then a(c) = p and a(p) = c, where c = T_c(r,k) and p = T_p(r,k), and where T_p contains the primes arranged in rows by the prime index chain and T_c contains the composites arranged in rows by the order of compositeness. See Formula.at n=59A135044
• Square array T[i+1,j] = prime(T[i,j]), T[1,j] = j-th nonprime = A018252(j); read by upward antidiagonals.at n=41A138947
• Primes congruent to 57 mod 61.at n=36A142855
• Numbers of the form prime(prime(prime(k))) with a digit sum which is prime.at n=32A162252
• Primes p such that 2p + 3, 4p + 9, 3p + 2 and 9p + 8 are also primes.at n=12A176619
• Smallest of five consecutive primes whose sum is a square.at n=10A206281
• Number of 0..n arrays of length 3 with 0 never adjacent to n.at n=25A212836
• 50k^2-20k-23 interleaved with 50k^2+30k+17 for k=>0.at n=40A217894