What is the 8706th prime number?
The 8706th prime number is 89917. The next prime is 89923 (a gap of 6) and the one before is 89909.
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 8706th one is 89917.
- 2
89917 is prime because no prime up to ā89917 ā 299.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8706th prime is close to 8706 Ć ln(8706) ā 78979, and here it is 89917.
- 4
89917 has no twin: neither 89915 nor 89919 is prime.
Primes around the 8706th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8703 | 89897 | 6 |
| 8704 | 89899 | 2 |
| 8705 | 89909 | 10 |
| 8706 | 89917 | 8 |
| 8707 | 89923 | 6 |
| 8708 | 89939 | 16 |
| 8709 | 89959 | 20 |
Questions
What is the 8706th prime number?
89917.
Which prime number is 89917?
89917 is the 8706th prime number.
What is the sum of the first 8706 primes?
370,297,581.