19087
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Smallest prime p such that the product of q/(q-1) over the primes from prime(n) to p is greater than 2.at n=31A001275
- Numerators of coefficients for numerical integration.at n=6A002208
- Numerators of Cauchy numbers of second type (= Bernoulli numbers B_n^{(n)}).at n=6A002657
- a(n) = 1*t(n) + 2*t(n-1) + ...+ k*t(n+1-k), where k=floor((n+1)/2) and t is A001950 (upper Wythoff sequence).at n=42A023867
- Primes with 19 as smallest positive primitive root.at n=16A061331
- Integers n > 10583 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 10583.at n=15A066055
- Primes whose digits can be arranged in increasing cyclic order - to form a substring of 123456789012345678901234567890...at n=30A068710
- Numerator of the coefficient of x^n in log(-log(1-x)/x).at n=6A075266
- Numbers in ascending order formed by using all the digits of the next n numbers.at n=28A081991
- Lesser prime in pair prime(k) +/- k for some k.at n=30A107636
- prime(k) for those k where floor((2*(prime(k+1)-prime(k))*PrimePi(k) mod (8*k))/k) = m with m = 10.at n=22A109564
- Numbers appearing in A122072 at least four times.at n=7A122390
- a(n) = A000265(3*(a(n-1) + a(n-2))/2 + 1) starting at a(1)=1, a(2)=11.at n=27A124139
- Table read by antidiagonals: B(n,m) is the numerator of the Bernoulli polynomial of order m and degree n evaluated at x=0.at n=84A126853
- Primes p such that q-p = 34, where q is the next prime after p.at n=6A134116
- Numerators of upper right triangle of a(i,j) = Integral_{x=i..i+1} Sum_{k=0..j} A048994(j,k)*x^k.at n=26A140825
- Primes congruent to 30 mod 59.at n=37A142757
- Primes congruent to 55 mod 61.at n=37A142853
- Primes p such that continued fraction of (1 + sqrt(p))/2 has period 16 : primes in A146339.at n=9A146361
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 1), (0, 1, -1), (1, -1, -1), (1, 1, 0)}.at n=9A148833