103993
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numerators of convergents to Pi.at n=6A002485
- 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=5A046947
- Numbers k such that sec(k) decreases monotonically to 1 (or cos(k) increases to 1).at n=7A046955
- Primes found among the numerators of the continued fraction rational approximations to Pi.at n=1A086785
- a(1) = 1, and for each n >= 2, a(n) is the smallest number such that 1/sin(a(n)) < 1/sin(a(k)) for all k < n, so that 1/sin(a(1)) > 1/sin(a(2)) > ... > 1/sin(a(n)) > ...at n=7A172451
- Primes in either the numerator or denominator of continued fraction convergents to Pi.at n=3A224936
- Least prime factor of (2n+1)^(2n+1)+2.at n=31A228613
- Integers in the interval [Pi*k - 1/k, Pi*k + 1/k] for some k > 0.at n=26A265735
- Interlopers in sexy prime quadruples.at n=43A358322
- a(n) is the numerator of the rational number with the smallest denominator that lies within 1/10^n of Pi.at n=9A360366
- Intersection of A002485 and A360366.at n=4A360369
- Integers in the interval [Pi*k - 1/k, Pi*k + 1/k] for some k > 0 that are numerators of convergents to 2*Pi.at n=5A362602
- a(n) = Sum_{i=1..q-1} d(i)^i where d(i) are the q sorted divisors of A376222(n).at n=19A376223
- Prime numbersat n=9932