41981

Properties

Appears in sequences

• Prime number spiral (clockwise, South spoke).at n=33A054566
• Primes which are a concatenation of prime(n) and n.at n=7A084669
• a(0) = a(1) = 1; for n >= 2, a(n) = a(n-1) + a(n-2) - n if that number is positive and not already in the sequence, otherwise a(n) = a(n-1) + a(n-2) + n.at n=24A117821
• Lah transform of A104600.at n=5A121020
• Numbers k such that binomial(3k, k) + 1 is prime.at n=29A125221
• Primes of the form k^2 - prime(k).at n=26A188831
• Number of n X 2 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 4,1,2,0,3 for x=0,1,2,3,4.at n=9A196961
• Primes p with f(p), f(f(p)) and f(f(f(p))) all prime, where f(n) = prime(n) - n + 1.at n=21A235934
• Number of partitions of n with difference 5 between the number of odd parts and the number of even parts, both counted without multiplicity.at n=45A242696
• Initial members of prime quadruples (n, n+2, n+36, n+38).at n=25A248367
• a(n) is the number of permutations of length n that avoid the pattern 321 and the mesh pattern (12, 363) or the same sequence for the mesh patterns (12, 399), (12, 429), (12, 483).at n=11A289598
• Expansion of 1/(1 - x - x^2/(1 + x^2/(1 + x^3/(1 + x^4/(1 + x^5/(1 + ...)))))), a continued fraction.at n=27A302016
• Prime numbersat n=4390