131111
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes that contain digits 1 and 3 only.at n=22A020451
- Numbers with multiplicative digital root value 3.at n=19A034050
- Primes arising in A036976.at n=25A036977
- Multiplicative primes: product of digits is a prime.at n=27A046703
- If k is a number with exactly two distinct decimal digits, say a and b, neither of which is 0 (i.e., a member of A101594), define the self-complement of k, SC(k), to be the number obtained by replacing a with b and vice versa. E.g. SC(232233) = 323322. Sequence contains primes p such that SC(p) is also a prime.at n=31A083983
- Beginning with 11, the smallest prime not already used beginning with the number obtained by placing the most significant digit to the right of the least significant digit.at n=5A090227
- Near-repunit primes.at n=37A105992
- Primes with digital product = 3.at n=10A107689
- Transmutable primes: Primes with distinct digits d_i, i=1,m (2<=m<=4) such that simultaneously exchanging all occurrences of any one pair (d_i,d_j), i<>j results in a prime.at n=38A108388
- Twin prime pairs using digits 1 and 3 only.at n=4A111070
- Prime numbers for which the product of the digits is a noncomposite number.at n=28A117835
- Chen primes for which the product of the digits is also a Chen prime.at n=18A118722
- 3n^3 + 2n^2 + n + 1.at n=35A130884
- Positive integers with the same number of 1s in base 10 and base 2.at n=22A153115
- Primes with at least one digit appearing exactly five times in the decimal expansion.at n=8A161796
- Second smallest prime after 2^n.at n=17A187872
- Primes that indicate that the total frequency of every decimal digit in the set of all primes up to and including that prime is odd.at n=12A192448
- Smallest twin prime > 2^n.at n=16A208572
- Union of A208572 and A208573.at n=29A208574
- Primes of the form 2^n + 39.at n=9A243429