46457

Properties

Appears in sequences

• a(n) = prime(n) + Fibonacci(n).at n=23A004397
• If a Fibonacci sequence is formed with first term = number of digits in n and second term = sum of decimal digits in n, then n itself occurs as a term in the sequence after the first two terms.at n=23A038868
• Primes of the form 9*k^4 - 204*k^3 + 1777*k^2 - 7038*k + 10729, for k >= 0, listed by increasing k.at n=14A117090
• Row sums of the inverse of the triangle A(n,k) = 1/F(n+1) if k <= n <= 2k, 0 otherwise.at n=25A127712
• A bisection of the row sums of the inverse of the triangle A(n,k) = 1/F(n+1) if k <= n <= 2k, 0 otherwise.at n=12A127713
• Primes that are the sum of two Fibonacci numbers.at n=32A178576
• Primes that have two terms in their Zeckendorf representation.at n=24A182569
• Coefficient of x in the reduction by x^2->x+1 of the polynomial p(n,x)=1+x^n+x^(2n+2).at n=10A192473
• Primes of the form 6n^2 - 7.at n=32A201792
• Number of (w,x,y,z) with all terms in {1,...,n} and w*x>=3*y*z.at n=21A211919
• Primes p such that p^2 divides 20^(p-1) - 1.at n=1A242982
• Number of n-length ternary words avoiding runs of zeros of length 1 (mod 3).at n=12A255630
• Denominators of upper primes-only best approximates (POBAs) to Pi; see Comments.at n=23A265811
• Primes whose base-6 representation is a square when read in base 10.at n=15A267820
• Primes p such that 6p - 1 and 6p + 1 are twin primes and ((6p-1)^2 + (6p+1)^2) / 10 is prime.at n=31A283957
• Primes p such that q1=6*p-1 and q2=6*p+1 are also primes (twin primes) and q1 is a Sophie Germain prime (i.e., 2*q1+1 is prime).at n=30A358381
• Primes having only {4, 5, 6, 7} as digits.at n=37A386188
• Prime numbersat n=4802