37853
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numerators of continued fraction convergents to sqrt(548).at n=7A042048
- Home primes whose homeliness is greater than 5.at n=16A133965
- Home primes whose homeliness is 6.at n=8A133966
- Primes of the form 5*x^2 - 2*y^2, where x and y are successive natural numbers.at n=17A177077
- Primes of the form n + sum of proper non-divisors of n.at n=26A192560
- Primes of the form 5n^2 + 8.at n=13A201486
- Values k(i) such that k(i) + k(i+3) = k(i+1) + k(i+2), where k(i) is A022885(i).at n=16A235725
- Primes of the form k*(k+2)/3 - 3, k>2.at n=37A262203
- Prime-indexed primes p such that 2*p + 1 is also a prime-indexed prime.at n=11A318294
- Squares where knight moving to a lowest unvisited square on a spirally numbered board will have no available moves.at n=24A323714
- a(1) = 37. For n > 1, a(n) = smallest prime q such that q^(a(n-1)-1) == 1 (mod a(n-1)^2).at n=5A355600
- Square array T(n, k) read by rising antidiagonals. Row n has the ordinary generating function (-(n*x^3-(n+1)*x^2+x) + sqrt((n*x^3-(n+1)*x^2+x)^2 - 4*(x^3-x^2)*((n+1)*x^2-x)))/(2*(x^3-x^2)).at n=74A377441
- Prime numbersat n=4003