What is the 8125th prime number?
The 8125th prime number is 83227. The next prime is 83231 (a gap of 4) and the one before is 83221.
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 8125th one is 83227.
- 2
83227 is prime because no prime up to ā83227 ā 288.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8125th prime is close to 8125 Ć ln(8125) ā 73147, and here it is 83227.
- 4
83227 has no twin: neither 83225 nor 83229 is prime.
Primes around the 8125th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8122 | 83207 | 4 |
| 8123 | 83219 | 12 |
| 8124 | 83221 | 2 |
| 8125 | 83227 | 6 |
| 8126 | 83231 | 4 |
| 8127 | 83233 | 2 |
| 8128 | 83243 | 10 |
Questions
What is the 8125th prime number?
83227.
Which prime number is 83227?
83227 is the 8125th prime number.
What is the sum of the first 8125 primes?
319,988,566.