What is the 368th prime number?
The 368th prime number is 2503. The next prime is 2521 (a gap of 18) and the one before is 2477.
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 368th one is 2503.
- 2
2503 is prime because no prime up to ā2503 ā 50.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 368th prime is close to 368 Ć ln(368) ā 2174, and here it is 2503.
- 4
2503 has no twin: neither 2501 nor 2505 is prime.
Primes around the 368th
| Position | Prime | Gap from the previous |
|---|---|---|
| 365 | 2467 | 8 |
| 366 | 2473 | 6 |
| 367 | 2477 | 4 |
| 368 | 2503 | 26 |
| 369 | 2521 | 18 |
| 370 | 2531 | 10 |
| 371 | 2539 | 8 |
Questions
What is the 368th prime number?
2503.
Which prime number is 2503?
2503 is the 368th prime number.
What is the sum of the first 368 primes?
423,315.