44683

Properties

Appears in sequences

• Primes equal to the sum of the first k primes for some k.at n=16A013918
• E.g.f. is series reversion of log(1+x)*exp(-x).at n=6A052888
• Numbers k such that 100^k - 99^k is prime.at n=7A062666
• Records in A111267.at n=27A111268
• Let p_(4,3)(m) be the m-th prime == 3 (mod 4). Then a(n) is the smallest p_(4,3)(m) such that the interval(p_(4,3)(m)*n, p_(4,3)(m+1)*n) contains exactly one prime == 3(mod 4).at n=43A210476
• Sum of the first n*(n+1) primes.at n=11A322420
• Primes of the form A322420(k) or the sum of the first k*(k+1) primes.at n=3A322421
• Sum of the largest parts of all compositions of n into distinct parts.at n=23A336903
• a(n) = numerator of (1/e)^n * Sum_{k>=0}(n^k*k^n)/(n!*k!).at n=6A339401
• Triangle read by rows: T(n,k) is the number of forests of labeled rooted Greg hypertrees with n white vertices and k black vertices, 0 <= k < n.at n=15A370949
• Primes p such that 12*2^p + 1 is also prime.at n=3A383914
• Prime numbersat n=4644