What is the 3463rd prime number?
The 3463rd prime number is 32299. The next prime is 32303 (a gap of 4) and the one before is 32297.
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 3463rd one is 32299.
- 2
32299 is prime because no prime up to ā32299 ā 179.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3463rd prime is close to 3463 Ć ln(3463) ā 28223, and here it is 32299.
- 4
32299 is a twin prime: 32297 and 32299 are both prime.
Primes around the 3463rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3460 | 32257 | 6 |
| 3461 | 32261 | 4 |
| 3462 | 32297 | 36 |
| 3463 | 32299 | 2 |
| 3464 | 32303 | 4 |
| 3465 | 32309 | 6 |
| 3466 | 32321 | 12 |
Questions
What is the 3463rd prime number?
32299.
Which prime number is 32299?
32299 is the 3463rd prime number.
What is the sum of the first 3463 primes?
52,463,966.