What is the 911th prime number?
The 911th prime number is 7109. The next prime is 7121 (a gap of 12) and the one before is 7103.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 911th one is 7109.
- 2
7109 is prime because no prime up to ā7109 ā 84.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 911th prime is close to 911 Ć ln(911) ā 6208, and here it is 7109.
- 4
7109 has no twin: neither 7107 nor 7111 is prime.
Primes around the 911th
| Position | Prime | Gap from the previous |
|---|---|---|
| 908 | 7069 | 12 |
| 909 | 7079 | 10 |
| 910 | 7103 | 24 |
| 911 | 7109 | 6 |
| 912 | 7121 | 12 |
| 913 | 7127 | 6 |
| 914 | 7129 | 2 |
Questions
What is the 911th prime number?
7109.
Which prime number is 7109?
7109 is the 911th prime number.
What is the sum of the first 911 primes?
3,013,030.