What is the 8422nd prime number?
The 8422nd prime number is 86627. The next prime is 86629 (a gap of 2) and the one before is 86599.
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 8422nd one is 86627.
- 2
86627 is prime because no prime up to ā86627 ā 294.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8422nd prime is close to 8422 Ć ln(8422) ā 76123, and here it is 86627.
- 4
86627 is a twin prime: 86627 and 86629 are both prime.
Primes around the 8422nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8419 | 86579 | 6 |
| 8420 | 86587 | 8 |
| 8421 | 86599 | 12 |
| 8422 | 86627 | 28 |
| 8423 | 86629 | 2 |
| 8424 | 86677 | 48 |
| 8425 | 86689 | 12 |
Questions
What is the 8422nd prime number?
86627.
Which prime number is 86627?
86627 is the 8422nd prime number.
What is the sum of the first 8422 primes?
345,216,523.