What is the 8451st prime number?
The 8451st prime number is 87011. The next prime is 87013 (a gap of 2) and the one before is 86993.
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 8451st one is 87011.
- 2
87011 is prime because no prime up to ā87011 ā 294.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8451st prime is close to 8451 Ć ln(8451) ā 76414, and here it is 87011.
- 4
87011 is a twin prime: 87011 and 87013 are both prime.
Primes around the 8451st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8448 | 86969 | 10 |
| 8449 | 86981 | 12 |
| 8450 | 86993 | 12 |
| 8451 | 87011 | 18 |
| 8452 | 87013 | 2 |
| 8453 | 87037 | 24 |
| 8454 | 87041 | 4 |
Questions
What is the 8451st prime number?
87011.
Which prime number is 87011?
87011 is the 8451st prime number.
What is the sum of the first 8451 primes?
347,734,700.