What is the 8604th prime number?
The 8604th prime number is 88817. The next prime is 88819 (a gap of 2) and the one before is 88813.
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 8604th one is 88817.
- 2
88817 is prime because no prime up to ā88817 ā 298.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8604th prime is close to 8604 Ć ln(8604) ā 77952, and here it is 88817.
- 4
88817 is a twin prime: 88817 and 88819 are both prime.
Primes around the 8604th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8601 | 88807 | 6 |
| 8602 | 88811 | 4 |
| 8603 | 88813 | 2 |
| 8604 | 88817 | 4 |
| 8605 | 88819 | 2 |
| 8606 | 88843 | 24 |
| 8607 | 88853 | 10 |
Questions
What is the 8604th prime number?
88817.
Which prime number is 88817?
88817 is the 8604th prime number.
What is the sum of the first 8604 primes?
361,181,493.