11111117
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numbers with multiplicative digital root value 7.at n=28A034054
- Smallest prime containing at least n consecutive identical digits.at n=6A034388
- Smallest n-digit prime containing only digits 1 and 7, or 0 if no such prime exists.at n=7A036934
- Multiplicative primes: product of digits is a prime.at n=35A046703
- Smallest prime beginning with exactly n 1's.at n=7A065584
- Smallest multidigit prime such that the sum of the squares of its digits is equal to n times the product of its digits, or 0 if no such prime exists.at n=7A067791
- Smallest n-digit prime with all odd digits.at n=7A068693
- 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=7A069574
- n 1's followed by n.at n=6A075842
- Primes of the form k^4 - (k+1)^3.at n=16A087191
- Primes arising in A087605, or 0 if A087605(n) = 0.at n=6A087608
- Smallest prime in which the digit string can be partitioned into n+1 parts (only nonzero parts allowed) such that the sum of the first n parts = the (n+1)th one.at n=6A088293
- Primes of the form identical digits followed by a 7.at n=20A090147
- 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=7A090534
- Least n-digit prime using digit 7 once and rest all 1, or 0 if no such prime exists.at n=7A090535
- Smallest n-digit prime with digits from {1,4,7} only, or 0 if no such prime exists.at n=7A091920
- Primes of the form 10*R_k + 7, where R_k is the repunit (A002275) of length k.at n=4A093139
- Prime following n-th repunit.at n=7A096497
- Primes with digital product = 7.at n=10A107693
- Prime numbers for which the product of the digits is a noncomposite number.at n=36A117835