What is the 1049th prime number?
The 1049th prime number is 8377. The next prime is 8387 (a gap of 10) and the one before is 8369.
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 1049th one is 8377.
- 2
8377 is prime because no prime up to ā8377 ā 91.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1049th prime is close to 1049 Ć ln(1049) ā 7296, and here it is 8377.
- 4
8377 has no twin: neither 8375 nor 8379 is prime.
Primes around the 1049th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1046 | 8353 | 24 |
| 1047 | 8363 | 10 |
| 1048 | 8369 | 6 |
| 1049 | 8377 | 8 |
| 1050 | 8387 | 10 |
| 1051 | 8389 | 2 |
| 1052 | 8419 | 30 |
Questions
What is the 1049th prime number?
8377.
Which prime number is 8377?
8377 is the 1049th prime number.
What is the sum of the first 1049 primes?
4,082,626.