51749

Properties

Appears in sequences

• Sum of the prime(n) primes following prime(n).at n=29A099274
• a(1) = 2; k(1) = 0; for n > 1: k(n) = smallest number j >= k(n-1) such that 2*a(n-1) + j is prime; a(n) = 2*a(n-1) + k(n).at n=14A105120
• Primes p such that p^2 + 6, p^2 + 12 and p^2 + 18 are all prime.at n=14A173627
• Primes of the form n + sum of proper non-divisors of n.at n=33A192560
• Minimal natural number (in decimal representation) with n prime substrings in base-3 representation (substrings with leading zeros are considered to be nonprime).at n=28A217303
• Find the first (maximal) string of consecutive primes of length exactly n which alternate between 4*k+1 and 4*k+3 or 4*k+3 and 4*k+1 as in A002144(4*n+1) and A002145(4*n+3). The first element is a(n).at n=15A247384
• Least prime beginning a string, of length at least n, of consecutive primes which alternate between types 4*k+1 and 4*k+3 or 4*k+3 and 4*k+1.at n=15A289118
• Number of nX6 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 2 neighboring 1s.at n=9A297297
• a(n) is the least prime > a(n-2) such that a(n-1)+a(n) is a square.at n=33A359582
• Prime numbersat n=5295