What is the 389th prime number?
The 389th prime number is 2683. The next prime is 2687 (a gap of 4) and the one before is 2677.
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 389th one is 2683.
- 2
2683 is prime because no prime up to ā2683 ā 51.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 389th prime is close to 389 Ć ln(389) ā 2320, and here it is 2683.
- 4
2683 has no twin: neither 2681 nor 2685 is prime.
Primes around the 389th
| Position | Prime | Gap from the previous |
|---|---|---|
| 386 | 2663 | 4 |
| 387 | 2671 | 8 |
| 388 | 2677 | 6 |
| 389 | 2683 | 6 |
| 390 | 2687 | 4 |
| 391 | 2689 | 2 |
| 392 | 2693 | 4 |
Questions
What is the 389th prime number?
2683.
Which prime number is 2683?
2683 is the 389th prime number.
What is the sum of the first 389 primes?
478,006.