43609

Properties

Appears in sequences

• Number of compositions of n into positive triangular numbers.at n=26A023361
• Primes with 14 as smallest positive primitive root.at n=30A061327
• Numbers k such that in the ring Z[sqrt(3)] the norm of (-1+sqrt(3))^k-1 is prime.at n=20A067834
• a(n) = floor(6^n/(3+sqrt(3))^n).at n=45A240735
• Primes p such that p^3 is the concatenation of two k-digit primes where k is half the number of decimal digits in p^3.at n=16A248208
• Denominators of lower primes-only best approximates (POBAs) to sqrt(3); see Comments.at n=8A265779
• E.g.f. A(x) satisfies: A(x) = 1 + Integral Sum_{n>=0} (x^n/n!) * A(x)^(2^n) dx.at n=7A341381
• Primes p such that A001414(p+1) = A001414(p-1) - 1.at n=12A342823
• Number of compositions (ordered partitions) of n into two or more triangular numbers.at n=26A348529
• a(n) = Sum_{1<=i<=j<=n} prime(i)*prime(j).at n=13A357251
• Primes in A357251.at n=2A357252
• Prime numbersat n=4544