What is the 1051st prime number?
The 1051st prime number is 8389. The next prime is 8419 (a gap of 30) and the one before is 8387.
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 1051st one is 8389.
- 2
8389 is prime because no prime up to ā8389 ā 91.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1051st prime is close to 1051 Ć ln(1051) ā 7312, and here it is 8389.
- 4
8389 is a twin prime: 8387 and 8389 are both prime.
Primes around the 1051st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1048 | 8369 | 6 |
| 1049 | 8377 | 8 |
| 1050 | 8387 | 10 |
| 1051 | 8389 | 2 |
| 1052 | 8419 | 30 |
| 1053 | 8423 | 4 |
| 1054 | 8429 | 6 |
Questions
What is the 1051st prime number?
8389.
Which prime number is 8389?
8389 is the 1051st prime number.
What is the sum of the first 1051 primes?
4,099,402.