What is the 363rd prime number?
The 363rd prime number is 2447. The next prime is 2459 (a gap of 12) and the one before is 2441.
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 363rd one is 2447.
- 2
2447 is prime because no prime up to ā2447 ā 49.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 363rd prime is close to 363 Ć ln(363) ā 2140, and here it is 2447.
- 4
2447 has no twin: neither 2445 nor 2449 is prime.
Primes around the 363rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 360 | 2423 | 6 |
| 361 | 2437 | 14 |
| 362 | 2441 | 4 |
| 363 | 2447 | 6 |
| 364 | 2459 | 12 |
| 365 | 2467 | 8 |
| 366 | 2473 | 6 |
Questions
What is the 363rd prime number?
2447.
Which prime number is 2447?
2447 is the 363rd prime number.
What is the sum of the first 363 primes?
410,936.