What is the 8158th prime number?
The 8158th prime number is 83591. The next prime is 83597 (a gap of 6) and the one before is 83579.
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 8158th one is 83591.
- 2
83591 is prime because no prime up to ā83591 ā 289.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8158th prime is close to 8158 Ć ln(8158) ā 73477, and here it is 83591.
- 4
83591 has no twin: neither 83589 nor 83593 is prime.
Primes around the 8158th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8155 | 83561 | 4 |
| 8156 | 83563 | 2 |
| 8157 | 83579 | 16 |
| 8158 | 83591 | 12 |
| 8159 | 83597 | 6 |
| 8160 | 83609 | 12 |
| 8161 | 83617 | 8 |
Questions
What is the 8158th prime number?
83591.
Which prime number is 83591?
83591 is the 8158th prime number.
What is the sum of the first 8158 primes?
322,740,857.