What is the 949th prime number?
The 949th prime number is 7489. The next prime is 7499 (a gap of 10) and the one before is 7487.
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 949th one is 7489.
- 2
7489 is prime because no prime up to ā7489 ā 86.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 949th prime is close to 949 Ć ln(949) ā 6506, and here it is 7489.
- 4
7489 is a twin prime: 7487 and 7489 are both prime.
Primes around the 949th
| Position | Prime | Gap from the previous |
|---|---|---|
| 946 | 7477 | 18 |
| 947 | 7481 | 4 |
| 948 | 7487 | 6 |
| 949 | 7489 | 2 |
| 950 | 7499 | 10 |
| 951 | 7507 | 8 |
| 952 | 7517 | 10 |
Questions
What is the 949th prime number?
7489.
Which prime number is 7489?
7489 is the 949th prime number.
What is the sum of the first 949 primes?
3,290,538.