What is the 8002nd prime number?
The 8002nd prime number is 81839. The next prime is 81847 (a gap of 8) and the one before is 81817.
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 8002nd one is 81839.
- 2
81839 is prime because no prime up to ā81839 ā 286.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8002nd prime is close to 8002 Ć ln(8002) ā 71918, and here it is 81839.
- 4
81839 has no twin: neither 81837 nor 81841 is prime.
Primes around the 8002nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7999 | 81773 | 4 |
| 8000 | 81799 | 26 |
| 8001 | 81817 | 18 |
| 8002 | 81839 | 22 |
| 8003 | 81847 | 8 |
| 8004 | 81853 | 6 |
| 8005 | 81869 | 16 |
Questions
What is the 8002nd prime number?
81839.
Which prime number is 81839?
81839 is the 8002nd prime number.
What is the sum of the first 8002 primes?
309,840,997.