35507

Properties

Appears in sequences

• a(n) is the smallest lesser of twin prime p, such that prime(2 + p) - prime(p) = 2n (cf. A096474).at n=42A096475
• Expansion of (17-25*x-23*x^2+133*x^3)/(1-x)^4.at n=14A118587
• Pentanacci numbers for following initial values: a(0) = 1, a(1) = -1, a(2) = 1, a(3) = -1, a(4) = 1.at n=21A122997
• Primes of the form p = prime(k+1) such that prime(k) = (prime(k+3)+prime(k-1))/2.at n=33A126239
• Prime chain of 128 terms, including 104 distinct primes, consisting of the output of eight equations that alternate sequentially within a procedural expression of a single polynomial. The equations are either subsequences of x^2 - 79x + 1601 or transforms with one exception: 100x^2 - 2260x + 12959. The other four distinct equations are Euler-derived: 25x^2 - 1185x + 14083, 25x^2 - 775x + 6047, 100x^2 - 2280x + 13159, 100x^2 - 4160x + 43427.at n=21A140708
• Number of nX2 1..4 arrays containing at least one of each value, all equal values connected, rows considered as a single number in nondecreasing order, and columns considered as a single number in nondecreasing order.at n=10A166797
• Primes p such that p+2, p+24 and p+246 are also primes.at n=35A235871
• Primes p such that 100p-1, 100p-3, 100p-7, and 100p-9 are all prime.at n=6A243409
• Initial members of prime quadruples (n, n+2, n+24, n+26).at n=29A245568
• a(n) = a(n-1) + 3*a(n-2) -2*a(n-3) - 2*a(n-4), where a(0) = -1, a(1) = -1, a(2) = -1, a(3) = 1.at n=20A295732
• a(n) = a(n-1) + 3*a(n-2) -2*a(n-3) - 2*a(n-4), where a(0) = 0, a(1) = 0, a(2) = -1, a(3) = 2.at n=22A295734
• Triangle read by rows: T(n,w) is the number of n-step self avoiding walks on a 3D cubic lattice confined between two infinite horizontal planes a distance 2w apart and an orthogonal plane on the y-z axes, where the walk starts at the middle point between the planes on the y-z plane.at n=23A338127
• Prime numbersat n=3779