19571
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numerators of continued fraction convergents to sqrt(107).at n=6A041192
- Numerators of continued fraction convergents to sqrt(428).at n=6A041814
- Primes p from A031924 such that A052180(p) = 23.at n=16A052238
- Prime numbers p such that p+6, p^2+6^2, p^4+6^4 are all primes.at n=12A107441
- Let f(n) = exp(Pi*sqrt(n)); sequence gives numbers n such that f(n) - floor(f(n)) < 1/10^3.at n=23A127028
- Number of conjugate-congruent partitions of n.at n=43A137438
- Primes congruent to 42 mod 59.at n=39A142769
- Primes congruent to 51 mod 61.at n=37A142849
- Smallest k such that k*2*p(n)^2+1=q is prime 2*k*q^2+1=r 2*k*r^2+1=s, r and s are also prime.at n=16A224495
- n-th prime p such that (p+n)^2+n is prime but (p+j)^2+j is not prime for all 0<j<n.at n=24A238663
- Least integer k > 1 such that pi(k)^2 + pi(k*n)^2 is a square, where pi(.) is the prime-counting function given by A000720.at n=42A255677
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 529", based on the 5-celled von Neumann neighborhood.at n=27A272748
- Number of nX3 0..1 arrays with every element equal to 0, 1, 3, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.at n=9A303520
- Primes p such that (p^256 + 1)/2 is prime.at n=17A341234
- Number T(n,k) of partitions of [n] into k blocks whose element sum is <= n; triangle T(n,k), n >= 0, ceiling((n-1)/2)+signum(n) <= k <= n, read by rows.at n=60A375023
- Prime numbersat n=2220