What is the 1050th prime number?
The 1050th prime number is 8387. The next prime is 8389 (a gap of 2) and the one before is 8377.
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 1050th one is 8387.
- 2
8387 is prime because no prime up to ā8387 ā 91.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1050th prime is close to 1050 Ć ln(1050) ā 7304, and here it is 8387.
- 4
8387 is a twin prime: 8387 and 8389 are both prime.
Primes around the 1050th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1047 | 8363 | 10 |
| 1048 | 8369 | 6 |
| 1049 | 8377 | 8 |
| 1050 | 8387 | 10 |
| 1051 | 8389 | 2 |
| 1052 | 8419 | 30 |
| 1053 | 8423 | 4 |
Questions
What is the 1050th prime number?
8387.
Which prime number is 8387?
8387 is the 1050th prime number.
What is the sum of the first 1050 primes?
4,091,013.