56081

Properties

Appears in sequences

• a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (1, p(1), p(2), ...), t = (F(2), F(3), F(4), ...).at n=17A025101
• Initial prime in set of 4 consecutive primes with common difference 6.at n=20A033451
• First term of balanced prime quartets: p(m+1)-p(m) = p(m+2)-p(m+1) = p(m+3)-p(m+2).at n=20A054800
• Indices of primes in sequence defined by A(0) = 11, A(n) = 10*A(n-1) + 61 for n > 0.at n=9A056248
• Primes p such that the differences between the 5 consecutive primes starting with p are (6,6,6,2).at n=2A078968
• Primes p such that p, p+6, p+12, p+18 are consecutive primes and p=6*k+5 for some k.at n=10A090834
• Primes p such that 2p+1, 4p+3, 6p+5 are all primes.at n=34A107020
• Primes of the form k^2 + k + 55661, with k >= 0.at n=17A116206
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 1), (-1, 1, -1), (1, -1, 1), (1, 0, 0)}.at n=12A148037
• Numbers n such that there are a, b with abs(sigma(a) - sigma(b)) = sigma(n) - n and a U b = n, where U is decimal concatenation.at n=26A239563
• a(n) = Sum_{d|n} d^2 * (d+1)/2.at n=45A278403
• Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-2)*b(n-1)*b(n), where a(0) = 1, a(1) = 2, b(0) = 3, b(1) = 4, b(2) = 5, and (a(n)) and (b(n)) are increasing complementary sequences.at n=12A296278
• Prime numbersat n=5689