What is the 8149th prime number?
The 8149th prime number is 83459. The next prime is 83471 (a gap of 12) and the one before is 83449.
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 8149th one is 83459.
- 2
83459 is prime because no prime up to ā83459 ā 288.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8149th prime is close to 8149 Ć ln(8149) ā 73387, and here it is 83459.
- 4
83459 has no twin: neither 83457 nor 83461 is prime.
Primes around the 8149th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8146 | 83437 | 6 |
| 8147 | 83443 | 6 |
| 8148 | 83449 | 6 |
| 8149 | 83459 | 10 |
| 8150 | 83471 | 12 |
| 8151 | 83477 | 6 |
| 8152 | 83497 | 20 |
Questions
What is the 8149th prime number?
83459.
Which prime number is 83459?
83459 is the 8149th prime number.
What is the sum of the first 8149 primes?
321,989,024.