What is the 8128th prime number?
The 8128th prime number is 83243. The next prime is 83257 (a gap of 14) and the one before is 83233.
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 8128th one is 83243.
- 2
83243 is prime because no prime up to ā83243 ā 288.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8128th prime is close to 8128 Ć ln(8128) ā 73177, and here it is 83243.
- 4
83243 has no twin: neither 83241 nor 83245 is prime.
Primes around the 8128th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8125 | 83227 | 6 |
| 8126 | 83231 | 4 |
| 8127 | 83233 | 2 |
| 8128 | 83243 | 10 |
| 8129 | 83257 | 14 |
| 8130 | 83267 | 10 |
| 8131 | 83269 | 2 |
Questions
What is the 8128th prime number?
83243.
Which prime number is 83243?
83243 is the 8128th prime number.
What is the sum of the first 8128 primes?
320,238,273.