19483
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Powers of fourth root of 8 rounded down.at n=19A018066
- Numerators of continued fraction convergents to sqrt(753).at n=8A042450
- Third member of a sexy prime quadruple: value of p+12 such that p, p+6, p+12 and p+18 are all prime.at n=34A046123
- Primes p from A031924 such that A052180(primepi(p)) = 13.at n=31A052233
- Third term of balanced prime quartets: p(m-1)-p(m-2) = p(m)-p(m-1) = p(m+1)-p(m).at n=14A054802
- Primes in the sequence A003294 of certain fourth powers bases.at n=13A134820
- Primes congruent to 32 mod 53.at n=39A142562
- Primes congruent to 13 mod 59.at n=39A142740
- Primes congruent to 24 mod 61.at n=34A142822
- Number of arrangements of n+2 numbers in 0..2 with each number being the sum mod 3 of two others.at n=6A183877
- T(n,k)=Number of arrangements of n+2 numbers in 0..k with each number being the sum mod (k+1) of two others.at n=34A183884
- Number of arrangements of n+3 numbers in 0..2 with each number being the sum mod 3 of three others.at n=5A183885
- T(n,k)=Number of arrangements of n+3 numbers in 0..k with each number being the sum mod (k+1) of three others.at n=26A183892
- First of a run of 4 or more consecutive primes which all equal 1 (mod 3).at n=44A185942
- Numbers k such that 3^k + 22 is prime.at n=22A219042
- Primes whose binary and ternary representations are also prime when read in decimal.at n=29A236537
- Primes p such that p^4 - p +/- 1 are twin primes.at n=16A236952
- Odd primes p for which there are exactly as many primes in the range [prevprime(p)^2, prevprime(p)*p] as there are in the range [prevprime(p)*p, p^2], where prevprime(p) gives the previous prime before prime p.at n=28A256473
- a(n) = Sum_{k=1..n} (k/gcd(n, k))^2.at n=45A332654
- Primes in A374965 sorted into increasing order.at n=37A373804