What is the 369th prime number?
The 369th prime number is 2521. The next prime is 2531 (a gap of 10) and the one before is 2503.
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 369th one is 2521.
- 2
2521 is prime because no prime up to ā2521 ā 50.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 369th prime is close to 369 Ć ln(369) ā 2181, and here it is 2521.
- 4
2521 has no twin: neither 2519 nor 2523 is prime.
Primes around the 369th
| Position | Prime | Gap from the previous |
|---|---|---|
| 366 | 2473 | 6 |
| 367 | 2477 | 4 |
| 368 | 2503 | 26 |
| 369 | 2521 | 18 |
| 370 | 2531 | 10 |
| 371 | 2539 | 8 |
| 372 | 2543 | 4 |
Questions
What is the 369th prime number?
2521.
Which prime number is 2521?
2521 is the 369th prime number.
What is the sum of the first 369 primes?
425,836.