What is the 367th prime number?
The 367th prime number is 2477. The next prime is 2503 (a gap of 26) and the one before is 2473.
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 367th one is 2477.
- 2
2477 is prime because no prime up to ā2477 ā 49.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 367th prime is close to 367 Ć ln(367) ā 2167, and here it is 2477.
- 4
2477 has no twin: neither 2475 nor 2479 is prime.
Primes around the 367th
| Position | Prime | Gap from the previous |
|---|---|---|
| 364 | 2459 | 12 |
| 365 | 2467 | 8 |
| 366 | 2473 | 6 |
| 367 | 2477 | 4 |
| 368 | 2503 | 26 |
| 369 | 2521 | 18 |
| 370 | 2531 | 10 |
Questions
What is the 367th prime number?
2477.
Which prime number is 2477?
2477 is the 367th prime number.
What is the sum of the first 367 primes?
420,812.