What is the 913th prime number?
The 913th prime number is 7127. The next prime is 7129 (a gap of 2) and the one before is 7121.
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 913th one is 7127.
- 2
7127 is prime because no prime up to ā7127 ā 84.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 913th prime is close to 913 Ć ln(913) ā 6224, and here it is 7127.
- 4
7127 is a twin prime: 7127 and 7129 are both prime.
Primes around the 913th
| Position | Prime | Gap from the previous |
|---|---|---|
| 910 | 7103 | 24 |
| 911 | 7109 | 6 |
| 912 | 7121 | 12 |
| 913 | 7127 | 6 |
| 914 | 7129 | 2 |
| 915 | 7151 | 22 |
| 916 | 7159 | 8 |
Questions
What is the 913th prime number?
7127.
Which prime number is 7127?
7127 is the 913th prime number.
What is the sum of the first 913 primes?
3,027,278.