2281249
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numerators of continued fraction convergents to sqrt(73).at n=13A041128
- Numerators of continued fraction convergents to sqrt(292).at n=9A041548
- Numerators of continued fraction convergents to sqrt(657).at n=17A042262
- Let p = n-th prime of the form 4k+1, take smallest solution (x,y) to the Pellian equation x^2 - p*y^2 = 1 with x and y >= 1; sequence gives value of x.at n=8A081232
- Let p = n-th prime, take smallest solution (x,y) to the Pellian equation x^2 - p*y^2 = 1 with x and y >= 1; sequence gives value of x.at n=20A081233
- a(n) = 781250*n^2 - 455000*n + 66249.at n=1A157623
- x-values in the solution to x^2-73*y^2=1.at n=1A176382
- Positive fundamental solution x0 corresponding to the even y0 = 2*A261250 of the Pell equation x^2 - D y^2 = +1.at n=43A262024
- Prime numbersat n=168250