What is the 384th prime number?
The 384th prime number is 2657. The next prime is 2659 (a gap of 2) and the one before is 2647.
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 384th one is 2657.
- 2
2657 is prime because no prime up to ā2657 ā 51.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 384th prime is close to 384 Ć ln(384) ā 2285, and here it is 2657.
- 4
2657 is a twin prime: 2657 and 2659 are both prime.
Primes around the 384th
| Position | Prime | Gap from the previous |
|---|---|---|
| 381 | 2621 | 4 |
| 382 | 2633 | 12 |
| 383 | 2647 | 14 |
| 384 | 2657 | 10 |
| 385 | 2659 | 2 |
| 386 | 2663 | 4 |
| 387 | 2671 | 8 |
Questions
What is the 384th prime number?
2657.
Which prime number is 2657?
2657 is the 384th prime number.
What is the sum of the first 384 primes?
464,653.