What is the 8029th prime number?
The 8029th prime number is 82129. The next prime is 82139 (a gap of 10) and the one before is 82073.
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 8029th one is 82129.
- 2
82129 is prime because no prime up to ā82129 ā 286.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8029th prime is close to 8029 Ć ln(8029) ā 72187, and here it is 82129.
- 4
82129 has no twin: neither 82127 nor 82131 is prime.
Primes around the 8029th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8026 | 82051 | 12 |
| 8027 | 82067 | 16 |
| 8028 | 82073 | 6 |
| 8029 | 82129 | 56 |
| 8030 | 82139 | 10 |
| 8031 | 82141 | 2 |
| 8032 | 82153 | 12 |
Questions
What is the 8029th prime number?
82129.
Which prime number is 82129?
82129 is the 8029th prime number.
What is the sum of the first 8029 primes?
312,054,252.