What is the 8161st prime number?
The 8161st prime number is 83617. The next prime is 83621 (a gap of 4) and the one before is 83609.
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 8161st one is 83617.
- 2
83617 is prime because no prime up to ā83617 ā 289.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8161st prime is close to 8161 Ć ln(8161) ā 73507, and here it is 83617.
- 4
83617 has no twin: neither 83615 nor 83619 is prime.
Primes around the 8161st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8158 | 83591 | 12 |
| 8159 | 83597 | 6 |
| 8160 | 83609 | 12 |
| 8161 | 83617 | 8 |
| 8162 | 83621 | 4 |
| 8163 | 83639 | 18 |
| 8164 | 83641 | 2 |
Questions
What is the 8161st prime number?
83617.
Which prime number is 83617?
83617 is the 8161st prime number.
What is the sum of the first 8161 primes?
322,991,680.