What is the 8010th prime number?
The 8010th prime number is 81929. The next prime is 81931 (a gap of 2) and the one before is 81919.
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 8010th one is 81929.
- 2
81929 is prime because no prime up to ā81929 ā 286.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8010th prime is close to 8010 Ć ln(8010) ā 71997, and here it is 81929.
- 4
81929 is a twin prime: 81929 and 81931 are both prime.
Primes around the 8010th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8007 | 81899 | 16 |
| 8008 | 81901 | 2 |
| 8009 | 81919 | 18 |
| 8010 | 81929 | 10 |
| 8011 | 81931 | 2 |
| 8012 | 81937 | 6 |
| 8013 | 81943 | 6 |
Questions
What is the 8010th prime number?
81929.
Which prime number is 81929?
81929 is the 8010th prime number.
What is the sum of the first 8010 primes?
310,496,097.