What is the 8124th prime number?
The 8124th prime number is 83221. The next prime is 83227 (a gap of 6) and the one before is 83219.
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 8124th one is 83221.
- 2
83221 is prime because no prime up to ā83221 ā 288.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8124th prime is close to 8124 Ć ln(8124) ā 73137, and here it is 83221.
- 4
83221 is a twin prime: 83219 and 83221 are both prime.
Primes around the 8124th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8121 | 83203 | 26 |
| 8122 | 83207 | 4 |
| 8123 | 83219 | 12 |
| 8124 | 83221 | 2 |
| 8125 | 83227 | 6 |
| 8126 | 83231 | 4 |
| 8127 | 83233 | 2 |
Questions
What is the 8124th prime number?
83221.
Which prime number is 83221?
83221 is the 8124th prime number.
What is the sum of the first 8124 primes?
319,905,339.