111111113

Properties

Appears in sequences

• Smallest prime containing at least n consecutive identical digits.at n=7A034388
• Smallest n-digit prime containing only digits 1 and 3, or 0 if no such prime exists.at n=8A036930
• Multiplicative and additive primes: primes where the product and sum of digits are also prime.at n=21A046713
• Start with the prime 11; next prime must exceed previous prime, contain no 0's and start with last digit of previous prime.at n=15A053649
• Smallest prime beginning with exactly n 1's.at n=8A065584
• Smallest n-digit prime with all odd digits.at n=8A068693
• Smallest n-digit prime in which the k-th digit is a divisor or a multiple of k, or 0 if no such prime exists.at n=8A069574
• Primes arising in A087604, or 0 if A087604(n) = 0.at n=7A087609
• Primes of the form identical digits followed by a 3.at n=19A090146
• Least n-digit prime in which every two-digit string is also a prime, or 0 if no such number exists. (n-1 two-digit string primes occur.)at n=8A090534
• Least n-digit prime using digit 3 once and rest all 1, or 0 if no such prime exists.at n=8A090537
• Primes of the form 10*R_k + 3, where R_k is the repunit (A002275) of length k.at n=4A093011
• Prime following n-th repunit.at n=8A096497
• a(n) = (10^n + 17)/9.at n=9A098406
• Larger of two successive primes the average of which is a repdigit.at n=6A104387
• Primes with digital product = 3.at n=16A107689
• Sophie Germain primes for which the product of the digits is also a Sophie Germain prime.at n=6A118505
• Smallest prime beginning with exactly n identical digits.at n=7A131316
• Lunar squares n that can be written as n = i*i in more than one way.at n=2A180513
• Single-digit odd primes and primes whose decimal expansion has the form iii...ij, where i and j are distinct odd digits.at n=41A321363