What is the 383rd prime number?
The 383rd prime number is 2647. The next prime is 2657 (a gap of 10) and the one before is 2633.
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 383rd one is 2647.
- 2
2647 is prime because no prime up to ā2647 ā 51.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 383rd prime is close to 383 Ć ln(383) ā 2278, and here it is 2647.
- 4
2647 has no twin: neither 2645 nor 2649 is prime.
Primes around the 383rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 380 | 2617 | 8 |
| 381 | 2621 | 4 |
| 382 | 2633 | 12 |
| 383 | 2647 | 14 |
| 384 | 2657 | 10 |
| 385 | 2659 | 2 |
| 386 | 2663 | 4 |
Questions
What is the 383rd prime number?
2647.
Which prime number is 2647?
2647 is the 383rd prime number.
What is the sum of the first 383 primes?
461,996.