What is the 8600th prime number?
The 8600th prime number is 88801. The next prime is 88807 (a gap of 6) and the one before is 88799.
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 8600th one is 88801.
- 2
88801 is prime because no prime up to ā88801 ā 297.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8600th prime is close to 8600 Ć ln(8600) ā 77912, and here it is 88801.
- 4
88801 is a twin prime: 88799 and 88801 are both prime.
Primes around the 8600th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8597 | 88789 | 18 |
| 8598 | 88793 | 4 |
| 8599 | 88799 | 6 |
| 8600 | 88801 | 2 |
| 8601 | 88807 | 6 |
| 8602 | 88811 | 4 |
| 8603 | 88813 | 2 |
Questions
What is the 8600th prime number?
88801.
Which prime number is 88801?
88801 is the 8600th prime number.
What is the sum of the first 8600 primes?
360,826,245.