3331333
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Smallest prime beginning and ending in at least n 3's.at n=2A068161
- Palindromic wing primes (a.k.a. near-repdigit palindromic primes) of the general form r*(10^d - 1)/9 + (m-r)*10^floor(d/2) where d is the number of digits (an odd number > 1), r is the repeated digit, and m (different from r) is the middle digit.at n=23A077798
- Smallest palindromic prime containing exactly n 3's.at n=5A083974
- Palindromic primes with nonincreasing digits up to the middle and then nondecreasing.at n=36A084837
- Let f(n) be the n-th palindrome in A089743. Then a(n) is the smallest palindromic prime that begins with f(n).at n=23A088277
- Palindromic primes in which a single digit is sandwiched between strings of 3's.at n=5A088282
- Palindromes in A090272.at n=17A090271
- Take each palindrome ending in 1, 3, 7, or 9 and find smallest prime formed by the digits of that palindrome, followed by a string of digits, followed by the palindrome again.at n=21A090272
- Twin prime pairs using digits 1 and 3 only.at n=11A111070
- 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=5A241022
- Primes p such that one digit appears exactly six times together with a single different digit.at n=9A257937
- Primes consisting of a single 1 and at least one copy of some other digit.at n=34A325934
- a(n) = (10^(2*n+1) - 1)/3 - 2*10^n.at n=3A332131
- Primes that are the concatenation of x, 1 and x for some x.at n=31A392227
- Prime numbersat n=238995