What is the 8704th prime number?
The 8704th prime number is 89899. The next prime is 89909 (a gap of 10) and the one before is 89897.
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 8704th one is 89899.
- 2
89899 is prime because no prime up to ā89899 ā 299.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8704th prime is close to 8704 Ć ln(8704) ā 78959, and here it is 89899.
- 4
89899 is a twin prime: 89897 and 89899 are both prime.
Primes around the 8704th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8701 | 89867 | 18 |
| 8702 | 89891 | 24 |
| 8703 | 89897 | 6 |
| 8704 | 89899 | 2 |
| 8705 | 89909 | 10 |
| 8706 | 89917 | 8 |
| 8707 | 89923 | 6 |
Questions
What is the 8704th prime number?
89899.
Which prime number is 89899?
89899 is the 8704th prime number.
What is the sum of the first 8704 primes?
370,117,755.