What is the 914th prime number?
The 914th prime number is 7129. The next prime is 7151 (a gap of 22) and the one before is 7127.
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 914th one is 7129.
- 2
7129 is prime because no prime up to ā7129 ā 84.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 914th prime is close to 914 Ć ln(914) ā 6231, and here it is 7129.
- 4
7129 is a twin prime: 7127 and 7129 are both prime.
Primes around the 914th
| Position | Prime | Gap from the previous |
|---|---|---|
| 911 | 7109 | 6 |
| 912 | 7121 | 12 |
| 913 | 7127 | 6 |
| 914 | 7129 | 2 |
| 915 | 7151 | 22 |
| 916 | 7159 | 8 |
| 917 | 7177 | 18 |
Questions
What is the 914th prime number?
7129.
Which prime number is 7129?
7129 is the 914th prime number.
What is the sum of the first 914 primes?
3,034,407.