26251
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numbers that are the sum of 11 positive 8th powers.at n=42A003389
- Let (p1,p2), (p3,p4) be pairs of twin primes with p1*p2=p3+p4-1; sequence gives values of p2.at n=23A047977
- Primes whose consecutive digits differ by 3 or 4.at n=41A048415
- n is prime and is the concatenation of numbers n_1, n_2, n_3, in that order, with n_1 - n_2 = n_3. (Do not allow leading zeros for nonzero n_i.)at n=26A067861
- Number of partitions of n into >= 2 parts and with minimum part >= 2.at n=48A083751
- Primes in which the unit place digit is 1 and the k-th most significant digit is prime (2,3,5,7) if k is prime else is composite (4,6,8,9,0).at n=35A089704
- Balanced primes of order ten.at n=14A096702
- Numbers whose trajectory under the Esucarys map ends at the fixed point 247.at n=29A129133
- a(n) = 42*n^2 + 1.at n=25A158604
- Primes of the form 250n + 1.at n=29A179231
- Continued fraction of (3+sqrt(9+4r))/2, where r=sqrt(3).at n=54A190286
- Triangle T(n,k) with T(n,0)=1 and T(n,k) = (2^(n+1)-2^k)*T(n,k-1) + T(n+1,k-1) otherwise.at n=13A194583
- Primes of the form 9n^2 + 7.at n=15A201707
- a(n) = Sum_{i=0..n} A000129(i)^3.at n=5A213688
- Quadruple Hex-primes: let f(n) = A102489(n); then sequence lists primes p such that f(p), f(f(p)). f(f(f(p))) and f(f(f(f(p)))) are also primes.at n=19A237440
- E.g.f. satisfies A(x) = exp(x + x^4/4 * A(x)^4).at n=7A362491
- Number of permutations (p(1),p(2),...,p(n)) of (1,2,...,n) such that p(i)-i is in {-2,-1,4} for all i=1,...,n.at n=38A376743
- Except a(0)=1 and a(4)=0, number of integer partitions of n with no 1's and at least two parts.at n=49A379720
- Primes p == 3 (mod 4) such that the multiplicative order of 2+-i modulo p in Gaussian integers (A385165) is not divisible by 2 or 3.at n=32A385188
- Array read by antidiagonals: Place k points in general position on each side of a regular n-gon and join every pair of the k*n boundary points by a chord; T(n,k) (n >= 3, k >= 0) gives the number of regions in the resulting planar graph.at n=39A392228