What is the 8707th prime number?
The 8707th prime number is 89923. The next prime is 89939 (a gap of 16) and the one before is 89917.
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 8707th one is 89923.
- 2
89923 is prime because no prime up to ā89923 ā 299.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8707th prime is close to 8707 Ć ln(8707) ā 78989, and here it is 89923.
- 4
89923 has no twin: neither 89921 nor 89925 is prime.
Primes around the 8707th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8704 | 89899 | 2 |
| 8705 | 89909 | 10 |
| 8706 | 89917 | 8 |
| 8707 | 89923 | 6 |
| 8708 | 89939 | 16 |
| 8709 | 89959 | 20 |
| 8710 | 89963 | 4 |
Questions
What is the 8707th prime number?
89923.
Which prime number is 89923?
89923 is the 8707th prime number.
What is the sum of the first 8707 primes?
370,387,504.