26731
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Decimal part of cube root of n starts with 9: first term of runs.at n=28A034135
- Denominators of continued fraction convergents to sqrt(83).at n=4A041147
- Denominators of continued fraction convergents to sqrt(332).at n=8A041627
- Denominators of continued fraction convergents to sqrt(747).at n=4A042439
- Primes of the form p^2 + p - 1 when p is prime.at n=16A053185
- Primes p such that x^27 = 2 has no solution mod p, but x^9 = 2 has a solution mod p.at n=12A059354
- Primes p such that x^9 = 2 has a solution mod p, but x^(9^2) = 2 has no solution mod p.at n=13A070185
- 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=38A089704
- Number of distinct Markov type classes of order 4 possible in binary strings of length n.at n=13A132299
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/9.at n=17A152309
- Primes in toothpick sequence A153003.at n=38A153005
- Honaker primes of the form p = 2*k-1 with sum-of-digits(p) = sum-of-digits(k).at n=12A176111
- Primes of the form n^2-n-1 (for some n) such that p^2-p-1 is also prime.at n=19A237642
- Numbers n such that n*A007954(n) contains the same distinct digits as n.at n=23A248039
- Least prime q such that p(q*n) is prime, where p(.) is the partition function given by A000041.at n=22A257662
- Primes of the form n^2 + phi(n).at n=26A264771
- Centered 18-gonal (or octadecagonal) primes.at n=22A264825
- Least prime divisor of A300629(n).at n=54A300748
- Number of conjugacy classes for a non-abelian group of order p^3, where p is prime: a(n) = p^2 + p - 1 where p = prime(n).at n=37A319597
- Values of abs(P(x)), with P(x) = (1/72)*x^6 + (1/24)*x^5 - (1583/72)*x^4 - (3161/24)*x^3 + (200807/36)*x^2 + (97973/3)*x - 11351, for -45 <= x <= 12, sorted by size. All values in the given range are prime.at n=3A330364