What is the 8423rd prime number?
The 8423rd prime number is 86629. The next prime is 86677 (a gap of 48) and the one before is 86627.
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 8423rd one is 86629.
- 2
86629 is prime because no prime up to ā86629 ā 294.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8423rd prime is close to 8423 Ć ln(8423) ā 76133, and here it is 86629.
- 4
86629 is a twin prime: 86627 and 86629 are both prime.
Primes around the 8423rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8420 | 86587 | 8 |
| 8421 | 86599 | 12 |
| 8422 | 86627 | 28 |
| 8423 | 86629 | 2 |
| 8424 | 86677 | 48 |
| 8425 | 86689 | 12 |
| 8426 | 86693 | 4 |
Questions
What is the 8423rd prime number?
86629.
Which prime number is 86629?
86629 is the 8423rd prime number.
What is the sum of the first 8423 primes?
345,303,152.