What is the 8160th prime number?
The 8160th prime number is 83609. The next prime is 83617 (a gap of 8) and the one before is 83597.
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 8160th one is 83609.
- 2
83609 is prime because no prime up to ā83609 ā 289.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8160th prime is close to 8160 Ć ln(8160) ā 73497, and here it is 83609.
- 4
83609 has no twin: neither 83607 nor 83611 is prime.
Primes around the 8160th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8157 | 83579 | 16 |
| 8158 | 83591 | 12 |
| 8159 | 83597 | 6 |
| 8160 | 83609 | 12 |
| 8161 | 83617 | 8 |
| 8162 | 83621 | 4 |
| 8163 | 83639 | 18 |
Questions
What is the 8160th prime number?
83609.
Which prime number is 83609?
83609 is the 8160th prime number.
What is the sum of the first 8160 primes?
322,908,063.