What is the 8061st prime number?
The 8061st prime number is 82471. The next prime is 82483 (a gap of 12) and the one before is 82469.
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 8061st one is 82471.
- 2
82471 is prime because no prime up to ā82471 ā 287.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8061st prime is close to 8061 Ć ln(8061) ā 72507, and here it is 82471.
- 4
82471 is a twin prime: 82469 and 82471 are both prime.
Primes around the 8061st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8058 | 82457 | 36 |
| 8059 | 82463 | 6 |
| 8060 | 82469 | 6 |
| 8061 | 82471 | 2 |
| 8062 | 82483 | 12 |
| 8063 | 82487 | 4 |
| 8064 | 82493 | 6 |
Questions
What is the 8061st prime number?
82471.
Which prime number is 82471?
82471 is the 8061st prime number.
What is the sum of the first 8061 primes?
314,687,408.