What is the 8007th prime number?
The 8007th prime number is 81899. The next prime is 81901 (a gap of 2) and the one before is 81883.
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 8007th one is 81899.
- 2
81899 is prime because no prime up to ā81899 ā 286.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8007th prime is close to 8007 Ć ln(8007) ā 71967, and here it is 81899.
- 4
81899 is a twin prime: 81899 and 81901 are both prime.
Primes around the 8007th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8004 | 81853 | 6 |
| 8005 | 81869 | 16 |
| 8006 | 81883 | 14 |
| 8007 | 81899 | 16 |
| 8008 | 81901 | 2 |
| 8009 | 81919 | 18 |
| 8010 | 81929 | 10 |
Questions
What is the 8007th prime number?
81899.
Which prime number is 81899?
81899 is the 8007th prime number.
What is the sum of the first 8007 primes?
310,250,348.