51481

Properties

Appears in sequences

• a(n) = 3^n + 4^n + 6^n.at n=6A074548
• Smallest prime such that n*k(n)^2+n*k(n)+1 is a prime > (n-1)*k(n-1)^2+(n-1)*k(n-1)+1 with k(n)>1 or 0 if n=4 as no prime possible.at n=32A104995
• Prime numbers that are the sum of three distinct positive sixth powers.at n=2A126704
• Primes in A005891 = Centered pentagonal numbers: (5n^2 + 5n + 2)/2.at n=22A145838
• Swinging primes: primes which are within 1 of a swinging factorial (A056040).at n=15A163074
• Primes of the form k$ + 1. Here '$' denotes the swinging factorial function (A056040).at n=7A163075
• Primes of the form k$ + 1 which are the greater of twin primes. Here '$' denotes the swinging factorial function (A056040).at n=2A163083
• (Partial sums of the squarefree integers) that are prime.at n=23A194128
• Primes of the form 3*m^2 - 2.at n=20A201715
• Primes p such that 2*p + 79 is a square.at n=11A269790
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 307", based on the 5-celled von Neumann neighborhood.at n=42A271166
• Twin primes both of which are the sum of three positive cubes.at n=37A272376
• Primes which are the sum of three nonzero 6th powers.at n=5A283017
• a(n) = (n/2)*binomial(2*n, n) + 1.at n=8A289719
• Number of ways of writing n as a sum of n nonnegative cubes.at n=15A291700
• Primes p such that A001175(p) = (p-1)/9.at n=28A308794
• Terms k of A112998 such that k+2 is nonsquarefree.at n=28A328160
• Expansion of 1/sqrt((1-x^7)^2 - 4*x^2).at n=21A383569
• Prime numbersat n=5269