What is the 360th prime number?
The 360th prime number is 2423. The next prime is 2437 (a gap of 14) and the one before is 2417.
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 360th one is 2423.
- 2
2423 is prime because no prime up to ā2423 ā 49.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 360th prime is close to 360 Ć ln(360) ā 2119, and here it is 2423.
- 4
2423 has no twin: neither 2421 nor 2425 is prime.
Primes around the 360th
| Position | Prime | Gap from the previous |
|---|---|---|
| 357 | 2399 | 6 |
| 358 | 2411 | 12 |
| 359 | 2417 | 6 |
| 360 | 2423 | 6 |
| 361 | 2437 | 14 |
| 362 | 2441 | 4 |
| 363 | 2447 | 6 |
Questions
What is the 360th prime number?
2423.
Which prime number is 2423?
2423 is the 360th prime number.
What is the sum of the first 360 primes?
403,611.