What is the 8011th prime number?
The 8011th prime number is 81931. The next prime is 81937 (a gap of 6) and the one before is 81929.
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 8011th one is 81931.
- 2
81931 is prime because no prime up to ā81931 ā 286.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8011th prime is close to 8011 Ć ln(8011) ā 72007, and here it is 81931.
- 4
81931 is a twin prime: 81929 and 81931 are both prime.
Primes around the 8011th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8008 | 81901 | 2 |
| 8009 | 81919 | 18 |
| 8010 | 81929 | 10 |
| 8011 | 81931 | 2 |
| 8012 | 81937 | 6 |
| 8013 | 81943 | 6 |
| 8014 | 81953 | 10 |
Questions
What is the 8011th prime number?
81931.
Which prime number is 81931?
81931 is the 8011th prime number.
What is the sum of the first 8011 primes?
310,578,028.