41729
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes that remain prime through 4 iterations of the function f(x) = 9x + 8.at n=15A023326
- Primes of the form 512n+257.at n=15A105131
- Larger of 3 consecutive prime numbers such that p1*p2*p3 + d1 + d2 - 1 = average of twin prime pairs, d1 (delta) = p2 - p1, d2 (delta) = p3 - p2.at n=13A153405
- a(n) = (4*n^3 - 6*n^2 + 8*n + 3)/3.at n=32A161712
- Primes such that when they are concatenated with their 10's complement (which also must be prime), the result is a brilliant number.at n=19A168466
- Number of (n+1) X 7 binary arrays with every 2 X 2 subblock commuting with each of its horizontal and vertical 2 X 2 subblock neighbors.at n=13A186459
- Constant term of the reduction by x^2->x+1 of the polynomial p(n,x) defined at Comments.at n=16A193048
- Prime numbers ending in Hardy-Ramanujan number 1729.at n=1A193742
- Primes of the form 256*k + 1.at n=32A208178
- Primes of the form 384*k + 257.at n=35A229856
- Primes p such that 2*prime(p) + 1 = prime(q) for some prime q.at n=38A261361
- a(n) = Sum_{1 <= i, j, k, l <= n} gcd(i,j,k,l).at n=13A344523
- Primes such that x^16 = 2 has a solution in Z/pZ, but x^32 = 2 does not.at n=18A373468
- a(n) = Sum_{k=0..n} (k+3) * binomial(4*n-3*k+3,n-k)/(4*n-3*k+3).at n=6A390810
- Prime numbersat n=4364