What is the 8006th prime number?
The 8006th prime number is 81883. The next prime is 81899 (a gap of 16) and the one before is 81869.
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 8006th one is 81883.
- 2
81883 is prime because no prime up to ā81883 ā 286.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8006th prime is close to 8006 Ć ln(8006) ā 71957, and here it is 81883.
- 4
81883 has no twin: neither 81881 nor 81885 is prime.
Primes around the 8006th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8003 | 81847 | 8 |
| 8004 | 81853 | 6 |
| 8005 | 81869 | 16 |
| 8006 | 81883 | 14 |
| 8007 | 81899 | 16 |
| 8008 | 81901 | 2 |
| 8009 | 81919 | 18 |
Questions
What is the 8006th prime number?
81883.
Which prime number is 81883?
81883 is the 8006th prime number.
What is the sum of the first 8006 primes?
310,168,449.