What is the 8708th prime number?
The 8708th prime number is 89939. The next prime is 89959 (a gap of 20) and the one before is 89923.
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 8708th one is 89939.
- 2
89939 is prime because no prime up to ā89939 ā 299.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8708th prime is close to 8708 Ć ln(8708) ā 78999, and here it is 89939.
- 4
89939 has no twin: neither 89937 nor 89941 is prime.
Primes around the 8708th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8705 | 89909 | 10 |
| 8706 | 89917 | 8 |
| 8707 | 89923 | 6 |
| 8708 | 89939 | 16 |
| 8709 | 89959 | 20 |
| 8710 | 89963 | 4 |
| 8711 | 89977 | 14 |
Questions
What is the 8708th prime number?
89939.
Which prime number is 89939?
89939 is the 8708th prime number.
What is the sum of the first 8708 primes?
370,477,443.