What is the 371st prime number?
The 371st prime number is 2539. The next prime is 2543 (a gap of 4) and the one before is 2531.
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 371st one is 2539.
- 2
2539 is prime because no prime up to ā2539 ā 50.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 371st prime is close to 371 Ć ln(371) ā 2195, and here it is 2539.
- 4
2539 has no twin: neither 2537 nor 2541 is prime.
Primes around the 371st
| Position | Prime | Gap from the previous |
|---|---|---|
| 368 | 2503 | 26 |
| 369 | 2521 | 18 |
| 370 | 2531 | 10 |
| 371 | 2539 | 8 |
| 372 | 2543 | 4 |
| 373 | 2549 | 6 |
| 374 | 2551 | 2 |
Questions
What is the 371st prime number?
2539.
Which prime number is 2539?
2539 is the 371st prime number.
What is the sum of the first 371 primes?
430,906.