19843
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes with 19 as smallest positive primitive root.at n=18A061331
- Primes p = p(k) such that p(k) + p(k+9) = p(k+1) + p(k+8) = p(k+2) + p(k+7) = p(k+3) + p(k+6) = p(k+4) + p(k+5).at n=3A064103
- a(n) = prime(2*n*(n+1)+1).at n=33A078746
- Balanced primes of order four.at n=19A082079
- Primes in A103374.at n=19A103384
- Primes for which the weight as defined in A117078 is 11 and the gap as defined in A001223 is 10.at n=25A119596
- Largest prime factor of 2*n^3 - 2*n + 9.at n=30A127990
- Primes congruent to 9 mod 47.at n=40A142360
- Primes congruent to 18 mod 61.at n=39A142816
- Primes congruent to 34 mod 71.at n=31A154624
- Primes of the form k*(k+2)/3 - 2, k > 0.at n=32A162307
- Primes that are the sum of all composite numbers in-between prime numbers p(n) and p(n+2).at n=13A174521
- Primes p such that p^2 - 8, p^2 - 6 and p^2 - 2 are prime.at n=9A176960
- Central term of nine successive primes whose average is a prime.at n=35A180457
- Number of (n+2) X 5 binary arrays with each 3 X 3 subblock having rows and columns in lexicographically nondecreasing order.at n=12A184542
- Primes of the form 5n^2 - 2.at n=8A201784
- Numbers k such that (151*10^k - 1)/3 is prime.at n=19A276546
- a(1) = 2; a(n + 1) = smallest prime > a(n) such that a(n + 1) - a(n) is the product of 8 primes.at n=18A285693
- Primes of the form 11*n^2 + 55*n + 43.at n=31A292578
- Number of nX4 0..1 arrays with every element equal to 1, 2, 3, 5 or 7 king-move adjacent elements, with upper left element zero.at n=5A298556