What is the 8069th prime number?
The 8069th prime number is 82549. The next prime is 82559 (a gap of 10) and the one before is 82531.
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 8069th one is 82549.
- 2
82549 is prime because no prime up to ā82549 ā 287.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8069th prime is close to 8069 Ć ln(8069) ā 72587, and here it is 82549.
- 4
82549 has no twin: neither 82547 nor 82551 is prime.
Primes around the 8069th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8066 | 82507 | 8 |
| 8067 | 82529 | 22 |
| 8068 | 82531 | 2 |
| 8069 | 82549 | 18 |
| 8070 | 82559 | 10 |
| 8071 | 82561 | 2 |
| 8072 | 82567 | 6 |
Questions
What is the 8069th prime number?
82549.
Which prime number is 82549?
82549 is the 8069th prime number.
What is the sum of the first 8069 primes?
315,347,486.