833719
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numerators of convergents to Pi.at n=10A002485
- Sin(n) decreases monotonically to 0.at n=11A046946
- Numbers k such that |sin(k)| (or |tan(k)| or |sec(k)|) decreases monotonically to 0; also |cos(k)| (or |cosec(k)| or |cot(k)|) increases.at n=9A046947
- Cos(a(n)) decreases monotonically to -1.at n=8A046965
- Least positive integer multiples of angle x such that their direction cosines form a unit vector: Sum_{k>0} cos(a(k)*x)^2 = 1, where a(1)=1, a(n+1)>a(n) and x=3-Pi/2.at n=38A080139
- Primes found among the numerators of the continued fraction rational approximations to Pi.at n=2A086785
- Primes in either the numerator or denominator of continued fraction convergents to Pi.at n=4A224936
- Integers in the interval [Pi*k - 1/k, Pi*k + 1/k] for some k > 0.at n=31A265735
- Numerators of lower primes-only best approximates (POBAs) to Pi; see Comments.at n=29A265808
- Numerators of primes-only best approximates (POBAs) to Pi; see Comments.at n=28A265812
- Minimal numerator among the fractions with n-digit numerator and n-digit denominator that best approximate Pi.at n=5A327360
- a(n) is the numerator of the rational number with the smallest denominator that lies within 1/10^n of Pi.at n=11A360366
- Intersection of A002485 and A360366.at n=6A360369
- Prime numbersat n=66447