33331
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes that contain digits 1 and 3 only.at n=19A020451
- n 3's followed by 1.at n=4A033175
- Numbers having four 3's in base 10.at n=13A043504
- Except for initial term, primes of form "n 3's followed by 1".at n=4A051200
- Periodic points under the map A053392 that adds consecutive pairs of digits and concatenates them.at n=25A053393
- Prime numbers with odd digits in descending order.at n=34A061245
- Smallest prime beginning with exactly n 3's.at n=4A065586
- Smallest prime starting with n 3s.at n=4A068104
- 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=24A083983
- Primes arising in A086920, or 0 if A086920(n) = 0.at n=3A086923
- Primes of the form identical odd digits followed by a 1.at n=6A089346
- Primes of the form identical digits followed by a 1.at n=13A089347
- Near-repdigit primes with 3 as repeated digit.at n=23A105981
- 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=30A108388
- Primes of the form aaaa...aa1 where a is 1, 2, 3, 4 or 5.at n=7A109548
- Primes of the form aaaa...aa1 where a is 3, 4, 5, 6 or 7.at n=9A109550
- Prime numbers of the form (10^n - 7)/3.at n=3A123568
- Home primes whose homeliness is greater than 4.at n=24A133963
- Home primes whose homeliness is 5.at n=16A133964
- Largest prime factor of odd composites less than 10^n.at n=4A136024