What is the 8163rd prime number?
The 8163rd prime number is 83639. The next prime is 83641 (a gap of 2) and the one before is 83621.
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 8163rd one is 83639.
- 2
83639 is prime because no prime up to ā83639 ā 289.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8163rd prime is close to 8163 Ć ln(8163) ā 73527, and here it is 83639.
- 4
83639 is a twin prime: 83639 and 83641 are both prime.
Primes around the 8163rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8160 | 83609 | 12 |
| 8161 | 83617 | 8 |
| 8162 | 83621 | 4 |
| 8163 | 83639 | 18 |
| 8164 | 83641 | 2 |
| 8165 | 83653 | 12 |
| 8166 | 83663 | 10 |
Questions
What is the 8163rd prime number?
83639.
Which prime number is 83639?
83639 is the 8163rd prime number.
What is the sum of the first 8163 primes?
323,158,940.