What is the 8129th prime number?
The 8129th prime number is 83257. The next prime is 83267 (a gap of 10) and the one before is 83243.
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 8129th one is 83257.
- 2
83257 is prime because no prime up to ā83257 ā 288.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8129th prime is close to 8129 Ć ln(8129) ā 73187, and here it is 83257.
- 4
83257 has no twin: neither 83255 nor 83259 is prime.
Primes around the 8129th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8126 | 83231 | 4 |
| 8127 | 83233 | 2 |
| 8128 | 83243 | 10 |
| 8129 | 83257 | 14 |
| 8130 | 83267 | 10 |
| 8131 | 83269 | 2 |
| 8132 | 83273 | 4 |
Questions
What is the 8129th prime number?
83257.
Which prime number is 83257?
83257 is the 8129th prime number.
What is the sum of the first 8129 primes?
320,321,530.