What is the 8705th prime number?
The 8705th prime number is 89909. The next prime is 89917 (a gap of 8) and the one before is 89899.
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 8705th one is 89909.
- 2
89909 is prime because no prime up to ā89909 ā 299.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8705th prime is close to 8705 Ć ln(8705) ā 78969, and here it is 89909.
- 4
89909 has no twin: neither 89907 nor 89911 is prime.
Primes around the 8705th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8702 | 89891 | 24 |
| 8703 | 89897 | 6 |
| 8704 | 89899 | 2 |
| 8705 | 89909 | 10 |
| 8706 | 89917 | 8 |
| 8707 | 89923 | 6 |
| 8708 | 89939 | 16 |
Questions
What is the 8705th prime number?
89909.
Which prime number is 89909?
89909 is the 8705th prime number.
What is the sum of the first 8705 primes?
370,207,664.