What is the 385th prime number?
The 385th prime number is 2659. The next prime is 2663 (a gap of 4) and the one before is 2657.
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 385th one is 2659.
- 2
2659 is prime because no prime up to ā2659 ā 51.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 385th prime is close to 385 Ć ln(385) ā 2292, and here it is 2659.
- 4
2659 is a twin prime: 2657 and 2659 are both prime.
Primes around the 385th
| Position | Prime | Gap from the previous |
|---|---|---|
| 382 | 2633 | 12 |
| 383 | 2647 | 14 |
| 384 | 2657 | 10 |
| 385 | 2659 | 2 |
| 386 | 2663 | 4 |
| 387 | 2671 | 8 |
| 388 | 2677 | 6 |
Questions
What is the 385th prime number?
2659.
Which prime number is 2659?
2659 is the 385th prime number.
What is the sum of the first 385 primes?
467,312.