What is the 8164th prime number?
The 8164th prime number is 83641. The next prime is 83653 (a gap of 12) and the one before is 83639.
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 8164th one is 83641.
- 2
83641 is prime because no prime up to ā83641 ā 289.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8164th prime is close to 8164 Ć ln(8164) ā 73537, and here it is 83641.
- 4
83641 is a twin prime: 83639 and 83641 are both prime.
Primes around the 8164th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8161 | 83617 | 8 |
| 8162 | 83621 | 4 |
| 8163 | 83639 | 18 |
| 8164 | 83641 | 2 |
| 8165 | 83653 | 12 |
| 8166 | 83663 | 10 |
| 8167 | 83689 | 26 |
Questions
What is the 8164th prime number?
83641.
Which prime number is 83641?
83641 is the 8164th prime number.
What is the sum of the first 8164 primes?
323,242,581.