What is the 8004th prime number?
The 8004th prime number is 81853. The next prime is 81869 (a gap of 16) and the one before is 81847.
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 8004th one is 81853.
- 2
81853 is prime because no prime up to ā81853 ā 286.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8004th prime is close to 8004 Ć ln(8004) ā 71938, and here it is 81853.
- 4
81853 has no twin: neither 81851 nor 81855 is prime.
Primes around the 8004th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8001 | 81817 | 18 |
| 8002 | 81839 | 22 |
| 8003 | 81847 | 8 |
| 8004 | 81853 | 6 |
| 8005 | 81869 | 16 |
| 8006 | 81883 | 14 |
| 8007 | 81899 | 16 |
Questions
What is the 8004th prime number?
81853.
Which prime number is 81853?
81853 is the 8004th prime number.
What is the sum of the first 8004 primes?
310,004,697.