50549

Properties

Appears in sequences

• a(0) = 1, a(1) = 4, and a(n) = a(n-1) + a(n-2) for n >= 2.at n=21A000285
• Generalized Pellian with second term of 9.at n=7A048878
• Prime number spiral (clockwise, Southeast spoke).at n=36A054564
• Primes occurring in the sequence 3, 1, 4, 5, 9, 14, 23, ... (A000285 prefixed with 3).at n=8A091157
• Fibonacci sequence with initial values a(0) = 3 and a(1) = 1.at n=22A104449
• Primes p such that p+2, p*(p+2) + 12 and p*(p+2) + 14 are also prime.at n=5A130736
• Primes of the form a^a + b^b + c^c + d^d + e^e.at n=29A136292
• Primes that are the sum of two Fibonacci numbers.at n=34A178576
• Primes that have two terms in their Zeckendorf representation.at n=26A182569
• Wiener index of a benzenoid consisting of a chain of n hexagons characterized by the encoding s = 1133 (see the Gutman et al. reference, Sec. 5).at n=21A193399
• Primes that are arithmetical average of 100 consecutive primes.at n=18A217985
• Values of x in the solutions to x^2 - 3xy + y^2 + 11 = 0, where 0 < x < y.at n=21A237132
• Number of inequivalent (mod D_4) ways to place 2 nonattacking knights on an n X n board.at n=28A243717
• Lesser of twin primes P(k) and P(k+1) such that Sd(P(k)) + Sd(P(k+1)) = Sd(k) + Sd(k+1), where Sd(x) is the sum of digits of x.at n=8A277111
• Array read by antidiagonals: row n consists of the primes in row n of the array A333028.at n=38A333086
• Primes that are palindromic in factorial base.at n=32A333421
• Primes of the form H(m,k) = F(k+1)*F(m-k+2) - F(k)*F(m-k+1), where F(m) is the m-th Fibonacci number and m >= 0, 0 <= k <= m.at n=39A360932
• Prime numbersat n=5185