19993
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Number of squares on infinite chessboard at <= n knight's moves from a fixed square.at n=38A018836
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 94 ones.at n=20A031862
- "CGK" (necklace, element, unlabeled) transform of 2,1,1,1,...at n=28A032157
- Numbers n such that 219*2^n-1 is prime.at n=11A050861
- Primes with either no internal digits or all internal digits are 9.at n=50A069684
- Numerator of the expansion of e^(x + x^2 + x^3 + x^4).at n=7A090754
- Stable Poincaré series [or Poincare series] for Lie algebra of type A (i.e., the variety of complex k X k matrices with distinct eigenvalues).at n=22A098787
- Primes with digit sum = 31.at n=33A106767
- Primes p such that p's set of distinct digits is {1,3,9}.at n=36A108383
- Primes congruent to 51 mod 59.at n=35A142778
- Primes congruent to 46 mod 61.at n=38A142844
- Partial sums of A151791.at n=36A151792
- Primes p such that p*(p-1)/2-5 and p*(p-1)/2+5 are also prime numbers.at n=38A164623
- Primes containing 999 as a substring.at n=6A167292
- Primes of the form 2*10^k-7.at n=3A177508
- Primes of the form floor(k^sqrt(Pi)).at n=40A180452
- G.f.: A(x) = Sum_{n>=0} x^(n^2) / Product_{k=1..n} (1 - x^k)^n.at n=25A193197
- E.g.f.: exp(x+x^2+x^3+x^4).at n=7A193930
- Primes of the form 2n^2 - 7.at n=29A201714
- Primes of the form 8n^2 - 7.at n=11A201858