What is the 462nd prime number?
The 462nd prime number is 3271. The next prime is 3299 (a gap of 28) and the one before is 3259.
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 462nd one is 3271.
- 2
3271 is prime because no prime up to ā3271 ā 57.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 462nd prime is close to 462 Ć ln(462) ā 2835, and here it is 3271.
- 4
3271 has no twin: neither 3269 nor 3273 is prime.
Primes around the 462nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 459 | 3253 | 2 |
| 460 | 3257 | 4 |
| 461 | 3259 | 2 |
| 462 | 3271 | 12 |
| 463 | 3299 | 28 |
| 464 | 3301 | 2 |
| 465 | 3307 | 6 |
Questions
What is the 462nd prime number?
3271.
Which prime number is 3271?
3271 is the 462nd prime number.
What is the sum of the first 462 primes?
694,297.