31333
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes of form k^2 + 4.at n=31A005473
- Primes that contain digits 1 and 3 only.at n=16A020451
- Numbers having four 3's in base 10.at n=4A043504
- Euclid-Mullin sequence (A000945) with initial value a(1)=23 instead of a(1)=2.at n=15A051313
- Number of 4 X n binary matrices with 1 unit column up to row and column permutations.at n=9A057222
- Sum of orders of all permutations of n letters.at n=7A060014
- Primes with all odd digits such that the next three primes also contain all odd digits.at n=22A068831
- Primes such that least significant digit swapped with all other digits yields primes.at n=39A090934
- Primes p=prime(k) such that in binary representation k is a substring of p.at n=16A091021
- Primes of the form n^2 + 4n + 8.at n=30A098062
- Near-repdigit primes with 3 as repeated digit.at n=22A105981
- a(n) = 6*a(n-1)-6*a(n-3)-a(n-4).at n=9A107375
- Numbers k such that k, k+1, k+2 and k+3 are 1,2,3,4-almost primes.at n=29A113000
- 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, 1, 0), (0, 0, 1), (0, 1, 0), (1, 0, -1)}.at n=9A149894
- Primes with at least one digit appearing exactly four times in the decimal expansion.at n=12A161786
- Primes containing the string 333.at n=15A166581
- Primes p containing the string "13" and sum of digits sod(p) = 13.at n=25A175017
- Primes having only {1, 3, 4} as digits.at n=36A199341
- Primes of the form 9n^2 + 4.at n=10A201706
- List of primitive words over the alphabet {1,3}.at n=44A213970