What is the 8452nd prime number?
The 8452nd prime number is 87013. The next prime is 87037 (a gap of 24) and the one before is 87011.
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 8452nd one is 87013.
- 2
87013 is prime because no prime up to ā87013 ā 294.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8452nd prime is close to 8452 Ć ln(8452) ā 76424, and here it is 87013.
- 4
87013 is a twin prime: 87011 and 87013 are both prime.
Primes around the 8452nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8449 | 86981 | 12 |
| 8450 | 86993 | 12 |
| 8451 | 87011 | 18 |
| 8452 | 87013 | 2 |
| 8453 | 87037 | 24 |
| 8454 | 87041 | 4 |
| 8455 | 87049 | 8 |
Questions
What is the 8452nd prime number?
87013.
Which prime number is 87013?
87013 is the 8452nd prime number.
What is the sum of the first 8452 primes?
347,821,713.