What is the 359th prime number?
The 359th prime number is 2417. The next prime is 2423 (a gap of 6) and the one before is 2411.
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 359th one is 2417.
- 2
2417 is prime because no prime up to ā2417 ā 49.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 359th prime is close to 359 Ć ln(359) ā 2112, and here it is 2417.
- 4
2417 has no twin: neither 2415 nor 2419 is prime.
Primes around the 359th
| Position | Prime | Gap from the previous |
|---|---|---|
| 356 | 2393 | 4 |
| 357 | 2399 | 6 |
| 358 | 2411 | 12 |
| 359 | 2417 | 6 |
| 360 | 2423 | 6 |
| 361 | 2437 | 14 |
| 362 | 2441 | 4 |
Questions
What is the 359th prime number?
2417.
Which prime number is 2417?
2417 is the 359th prime number.
What is the sum of the first 359 primes?
401,188.