What is the 8628th prime number?
The 8628th prime number is 89071. The next prime is 89083 (a gap of 12) and the one before is 89069.
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 8628th one is 89071.
- 2
89071 is prime because no prime up to ā89071 ā 298.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8628th prime is close to 8628 Ć ln(8628) ā 78194, and here it is 89071.
- 4
89071 is a twin prime: 89069 and 89071 are both prime.
Primes around the 8628th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8625 | 89051 | 10 |
| 8626 | 89057 | 6 |
| 8627 | 89069 | 12 |
| 8628 | 89071 | 2 |
| 8629 | 89083 | 12 |
| 8630 | 89087 | 4 |
| 8631 | 89101 | 14 |
Questions
What is the 8628th prime number?
89071.
Which prime number is 89071?
89071 is the 8628th prime number.
What is the sum of the first 8628 primes?
363,316,397.