What is the 8009th prime number?
The 8009th prime number is 81919. The next prime is 81929 (a gap of 10) and the one before is 81901.
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 8009th one is 81919.
- 2
81919 is prime because no prime up to ā81919 ā 286.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8009th prime is close to 8009 Ć ln(8009) ā 71987, and here it is 81919.
- 4
81919 has no twin: neither 81917 nor 81921 is prime.
Primes around the 8009th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8006 | 81883 | 14 |
| 8007 | 81899 | 16 |
| 8008 | 81901 | 2 |
| 8009 | 81919 | 18 |
| 8010 | 81929 | 10 |
| 8011 | 81931 | 2 |
| 8012 | 81937 | 6 |
Questions
What is the 8009th prime number?
81919.
Which prime number is 81919?
81919 is the 8009th prime number.
What is the sum of the first 8009 primes?
310,414,168.