113111

Properties

Appears in sequences

• Primes that contain digits 1 and 3 only.at n=20A020451
• Smallest nontrivial extension of n-th palindromic prime which is a prime.at n=23A030680
• Numbers with multiplicative digital root value 3.at n=18A034050
• Smallest n-digit prime containing only digits 1 and 3, or 0 if no such prime exists.at n=5A036930
• Multiplicative primes: product of digits is a prime.at n=26A046703
• a(n+1) is next smallest prime beginning with a(n), initial prime is 11.at n=3A048553
• 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=30A083983
• Least n-digit prime using digit 3 once and rest all 1, or 0 if no such prime exists.at n=5A090537
• Primes which are the reverse concatenation of two consecutive odd numbers.at n=15A104332
• Near-repunit primes.at n=36A105992
• Primes with digital product = 3.at n=9A107689
• 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=37A108388
• a(1) = 11, then least prime beginning with the digit reversal of the previous term.at n=4A111463
• Prime numbers for which the product of the digits is a noncomposite number.at n=27A117835
• Primes with at least one digit appearing exactly five times in the decimal expansion.at n=7A161796
• Primes of the form abcdabcd..abcdab.at n=6A187114
• The smallest prime(m) such that prime(m) = (prime(m+k)+prime(m-k))/2 for n values of k.at n=29A189802
• Decimal prime numbers which can be split into three equal-sized prime parts whose sum is prime. No leading zeros.at n=30A243767
• Maximal nonempty {1,3}-chunks of a 4-day-old string in a "Look and Say" sequence.at n=28A244047
• Primes that are the concatenation of n, prime(n) and n.at n=3A262205