What is the 8425th prime number?
The 8425th prime number is 86689. The next prime is 86693 (a gap of 4) and the one before is 86677.
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 8425th one is 86689.
- 2
86689 is prime because no prime up to ā86689 ā 294.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8425th prime is close to 8425 Ć ln(8425) ā 76153, and here it is 86689.
- 4
86689 has no twin: neither 86687 nor 86691 is prime.
Primes around the 8425th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8422 | 86627 | 28 |
| 8423 | 86629 | 2 |
| 8424 | 86677 | 48 |
| 8425 | 86689 | 12 |
| 8426 | 86693 | 4 |
| 8427 | 86711 | 18 |
| 8428 | 86719 | 8 |
Questions
What is the 8425th prime number?
86689.
Which prime number is 86689?
86689 is the 8425th prime number.
What is the sum of the first 8425 primes?
345,476,518.