What is the 468th prime number?
The 468th prime number is 3323. The next prime is 3329 (a gap of 6) and the one before is 3319.
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 468th one is 3323.
- 2
3323 is prime because no prime up to ā3323 ā 57.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 468th prime is close to 468 Ć ln(468) ā 2877, and here it is 3323.
- 4
3323 has no twin: neither 3321 nor 3325 is prime.
Primes around the 468th
| Position | Prime | Gap from the previous |
|---|---|---|
| 465 | 3307 | 6 |
| 466 | 3313 | 6 |
| 467 | 3319 | 6 |
| 468 | 3323 | 4 |
| 469 | 3329 | 6 |
| 470 | 3331 | 2 |
| 471 | 3343 | 12 |
Questions
What is the 468th prime number?
3323.
Which prime number is 3323?
3323 is the 468th prime number.
What is the sum of the first 468 primes?
714,159.