27253
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes that are palindromic in base 12.at n=41A029979
- Base-3 digits are, in order, the first n terms of the periodic sequence with initial period 1,1,0.at n=9A033130
- Primes with every digit a prime and the sum of the digits a prime.at n=41A062088
- Expansion of (1-x)/(1-2*x-2*x^2-3*x^3).at n=10A077842
- Primes p such that p-3 and p+3 are divisible by a cube.at n=25A089201
- Primes with at least one of each prime digit.at n=18A108419
- Numbers k that divide the sum of the digits of k!!, the double factorial of k.at n=17A108858
- Primes with a prime number of digits, all of them prime, that add up to a prime.at n=16A110028
- Primes with prime number of only prime digits (i.e., 2, 3, 5, 7).at n=40A124888
- a(n) is the minimal prime of the form 4k+1 for which s=A008784(n) is the minimal positive integer such that s*a(n)-floor(sqrt(s*a(n)))^2 is a square.at n=8A145215
- 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, -1, 1), (-1, 0, 1), (0, 0, -1), (1, 1, -1), (1, 1, 1)}.at n=8A149737
- Primes with a prime number of digits and using all of the prime digits 2, 3, 5, 7 at least once and no other digits.at n=10A153770
- Smallest of three consecutive primes whose average is a triangular number.at n=1A226150
- Primes whose base-3 representation also is the base-2 representation of a prime.at n=40A235265
- Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) + n - 1, where a(0) = 1, a(1) = 3, b(0) = 2, b(1) = 4.at n=17A294367
- Number of integer solutions to (x_1)^2 + (x_2)^2 + ... + (x_9)^2 <= n.at n=7A341398
- a(n) is the smallest prime that starts the first occurrence of exactly n consecutive primes in A381019.at n=42A381616
- Prime numbersat n=2983