50957

Properties

Appears in sequences

• Number of lattice paths from (0,0) to (n,n) using steps S={(k,0),(0,k)|0<k<=3} which never go above the line y=x.at n=7A175883
• Primes of the form 5*x^2 - 2*y^2, where x and y are successive natural numbers.at n=20A177077
• Primes of the form k*(k+2)/3 - 3, k>2.at n=40A262203
• a(n) = 2*a(n-1) - a(n-2) + 2*a(n-3) - 4*a(n-4) + 4*a(n-5) - 4*a(n-6) + 4*a(n-7) - 4*a(n-8) + 4*a(n-9) - 3*a(n-10) + 2*a(n-11) - 3*a(n-12) + 2*a(n-13) for n >= 16, with initial values as shown.at n=26A288511
• Primes p such that q1=6*p-1 and q2=6*p+1 are also primes (twin primes) and q1 is a Sophie Germain prime (i.e., 2*q1+1 is prime).at n=31A358381
• Primes having only {0, 5, 7, 9} as digits.at n=38A386080
• Prime numbersat n=5218