What is the 8127th prime number?
The 8127th prime number is 83233. The next prime is 83243 (a gap of 10) and the one before is 83231.
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 8127th one is 83233.
- 2
83233 is prime because no prime up to ā83233 ā 288.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8127th prime is close to 8127 Ć ln(8127) ā 73167, and here it is 83233.
- 4
83233 is a twin prime: 83231 and 83233 are both prime.
Primes around the 8127th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8124 | 83221 | 2 |
| 8125 | 83227 | 6 |
| 8126 | 83231 | 4 |
| 8127 | 83233 | 2 |
| 8128 | 83243 | 10 |
| 8129 | 83257 | 14 |
| 8130 | 83267 | 10 |
Questions
What is the 8127th prime number?
83233.
Which prime number is 83233?
83233 is the 8127th prime number.
What is the sum of the first 8127 primes?
320,155,030.