55717

Properties

Appears in sequences

• Fibonacci sequence beginning 2, 7.at n=20A022113
• Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 15.at n=35A031603
• Main diagonal of the Stolarsky array.at n=15A035489
• Primes in the main diagonal of the Stolarsky array (cf. A035506).at n=2A066823
• a(0)=2, a(1)=5, a(n+2) = a(n+1) + (-1)^n a(n).at n=40A095795
• a(0)=2, a(1)=5, a(n+2) = a(n+1) + (-1)^n a(n).at n=43A095795
• Primes of the form k^2 + k + 55661, with k >= 0.at n=6A116206
• Primes of form p*q + 30, where p and q are consecutive primes.at n=20A229570
• Primes p such that the polynomial x^7 - 7*x + 3 (mod p) is the product of seven linear factors.at n=30A358147
• 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=45A360932
• Prime numbersat n=5655