26113
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Sextan primes: p = (x^6 + y^6)/(x^2 + y^2).at n=32A002647
- Sixth term of strong prime sextets: p(m-4)-p(m-5) > p(m-3)-p(m-4) > p(m-2)-p(m-3) > p(m-1)-p(m-2) > p(m)-p(m-1).at n=7A054818
- Primes such that the sum of their digits and the sum of the reciprocals of their digits is also prime.at n=13A064779
- Primes of the form 512*k+1.at n=11A076339
- Upper twin primes of upper twin prime index.at n=21A088463
- Primes of the form 1024n + 513.at n=5A105132
- Primes p that remain prime through at least 2 iterations of the function f(p) = p^2 + 4.at n=37A116886
- Number of n X n binary arrays symmetric about both diagonal and antidiagonal with all ones connected only in a 1101-0111-0001 pattern in any orientation.at n=16A147235
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 1), (-1, 1, 1), (0, -1, 1), (0, 1, -1), (1, 1, 1)}.at n=8A149772
- Primes p containing the string "13" and sum of digits sod(p) = 13.at n=24A175017
- Primes of the form k * m^m + 1 with k < m^m.at n=29A180362
- Primes of the form 256*k + 1.at n=20A208178
- Primes of the form 384*k + 1.at n=21A229854
- Prime p such that p^5 + p^3 + p - 4 and p^5 + p^3 + p + 4 are primes.at n=26A243900
- Primes p such that p - d and p + d are also primes, where d is the largest digit of p.at n=20A245877
- Primes of the form sigma(k) + product of divisors of k.at n=21A260108
- Sum of the 2nd smallest parts of all the partitions of n (2nd smallest part is defined to be 0 when the partition does not have at least 2 distinct parts).at n=31A265248
- Primes whose sum of reciprocal of digits is a prime.at n=15A266815
- Primes whose base-8 representation is a perfect square in base 10.at n=11A267490
- Primes p such that 6p - 1 and 6p + 1 are twin primes and ((6p-1)^2 + (6p+1)^2) / 10 is prime.at n=18A283957