What is the 3462nd prime number?
The 3462nd prime number is 32297. The next prime is 32299 (a gap of 2) and the one before is 32261.
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 3462nd one is 32297.
- 2
32297 is prime because no prime up to ā32297 ā 179.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3462nd prime is close to 3462 Ć ln(3462) ā 28214, and here it is 32297.
- 4
32297 is a twin prime: 32297 and 32299 are both prime.
Primes around the 3462nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3459 | 32251 | 14 |
| 3460 | 32257 | 6 |
| 3461 | 32261 | 4 |
| 3462 | 32297 | 36 |
| 3463 | 32299 | 2 |
| 3464 | 32303 | 4 |
| 3465 | 32309 | 6 |
Questions
What is the 3462nd prime number?
32297.
Which prime number is 32297?
32297 is the 3462nd prime number.
What is the sum of the first 3462 primes?
52,431,667.