What is the 8131st prime number?
The 8131st prime number is 83269. The next prime is 83273 (a gap of 4) and the one before is 83267.
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 8131st one is 83269.
- 2
83269 is prime because no prime up to ā83269 ā 288.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8131st prime is close to 8131 Ć ln(8131) ā 73207, and here it is 83269.
- 4
83269 is a twin prime: 83267 and 83269 are both prime.
Primes around the 8131st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8128 | 83243 | 10 |
| 8129 | 83257 | 14 |
| 8130 | 83267 | 10 |
| 8131 | 83269 | 2 |
| 8132 | 83273 | 4 |
| 8133 | 83299 | 26 |
| 8134 | 83311 | 12 |
Questions
What is the 8131st prime number?
83269.
Which prime number is 83269?
83269 is the 8131st prime number.
What is the sum of the first 8131 primes?
320,488,066.