What is the 8005th prime number?
The 8005th prime number is 81869. The next prime is 81883 (a gap of 14) and the one before is 81853.
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 8005th one is 81869.
- 2
81869 is prime because no prime up to ā81869 ā 286.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8005th prime is close to 8005 Ć ln(8005) ā 71948, and here it is 81869.
- 4
81869 has no twin: neither 81867 nor 81871 is prime.
Primes around the 8005th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8002 | 81839 | 22 |
| 8003 | 81847 | 8 |
| 8004 | 81853 | 6 |
| 8005 | 81869 | 16 |
| 8006 | 81883 | 14 |
| 8007 | 81899 | 16 |
| 8008 | 81901 | 2 |
Questions
What is the 8005th prime number?
81869.
Which prime number is 81869?
81869 is the 8005th prime number.
What is the sum of the first 8005 primes?
310,086,566.