What is the 452nd prime number?
The 452nd prime number is 3191. The next prime is 3203 (a gap of 12) and the one before is 3187.
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 452nd one is 3191.
- 2
3191 is prime because no prime up to ā3191 ā 56.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 452nd prime is close to 452 Ć ln(452) ā 2763, and here it is 3191.
- 4
3191 has no twin: neither 3189 nor 3193 is prime.
Primes around the 452nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 449 | 3169 | 2 |
| 450 | 3181 | 12 |
| 451 | 3187 | 6 |
| 452 | 3191 | 4 |
| 453 | 3203 | 12 |
| 454 | 3209 | 6 |
| 455 | 3217 | 8 |
Questions
What is the 452nd prime number?
3191.
Which prime number is 3191?
3191 is the 452nd prime number.
What is the sum of the first 452 primes?
661,927.