What is the 362nd prime number?
The 362nd prime number is 2441. The next prime is 2447 (a gap of 6) and the one before is 2437.
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 362nd one is 2441.
- 2
2441 is prime because no prime up to ā2441 ā 49.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 362nd prime is close to 362 Ć ln(362) ā 2133, and here it is 2441.
- 4
2441 has no twin: neither 2439 nor 2443 is prime.
Primes around the 362nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 359 | 2417 | 6 |
| 360 | 2423 | 6 |
| 361 | 2437 | 14 |
| 362 | 2441 | 4 |
| 363 | 2447 | 6 |
| 364 | 2459 | 12 |
| 365 | 2467 | 8 |
Questions
What is the 362nd prime number?
2441.
Which prime number is 2441?
2441 is the 362nd prime number.
What is the sum of the first 362 primes?
408,489.