What is the 8008th prime number?
The 8008th prime number is 81901. The next prime is 81919 (a gap of 18) and the one before is 81899.
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 8008th one is 81901.
- 2
81901 is prime because no prime up to ā81901 ā 286.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8008th prime is close to 8008 Ć ln(8008) ā 71977, and here it is 81901.
- 4
81901 is a twin prime: 81899 and 81901 are both prime.
Primes around the 8008th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8005 | 81869 | 16 |
| 8006 | 81883 | 14 |
| 8007 | 81899 | 16 |
| 8008 | 81901 | 2 |
| 8009 | 81919 | 18 |
| 8010 | 81929 | 10 |
| 8011 | 81931 | 2 |
Questions
What is the 8008th prime number?
81901.
Which prime number is 81901?
81901 is the 8008th prime number.
What is the sum of the first 8008 primes?
310,332,249.