313333
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes that contain digits 1 and 3 only.at n=28A020451
- Smallest prime containing exactly n 3's.at n=5A037059
- a(n)= 2F2(n+1, n+2; 1, 2; 1) *n! *(n+1)! /exp(1), where 2F2 is the generalized hypergeometric function.at n=4A070074
- 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=38A083983
- Near-repdigit primes with 3 as repeated digit.at n=28A105981
- Twin prime pairs using digits 1 and 3 only.at n=7A111070
- Primes with at least one digit appearing exactly five times in the decimal expansion.at n=11A161796
- Smallest prime numbers p of length n having a decimal expansion x(1)x(2)... x(n) such that there exists an index j where x(j) = 1 and x(i) = 3 for i<>j, or 0 if no such prime exists.at n=4A241022
- Smallest n-digit prime having at least n-1 digits equal to 3.at n=5A268703
- Primes consisting of a single 1 and at least one copy of some other digit.at n=29A325934
- Array read by rows: T(n,k) is the first prime with exactly n occurrences of decimal digit k.at n=53A375760
- Prime numbersat n=27062