What is the 8159th prime number?
The 8159th prime number is 83597. The next prime is 83609 (a gap of 12) and the one before is 83591.
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 8159th one is 83597.
- 2
83597 is prime because no prime up to ā83597 ā 289.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8159th prime is close to 8159 Ć ln(8159) ā 73487, and here it is 83597.
- 4
83597 has no twin: neither 83595 nor 83599 is prime.
Primes around the 8159th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8156 | 83563 | 2 |
| 8157 | 83579 | 16 |
| 8158 | 83591 | 12 |
| 8159 | 83597 | 6 |
| 8160 | 83609 | 12 |
| 8161 | 83617 | 8 |
| 8162 | 83621 | 4 |
Questions
What is the 8159th prime number?
83597.
Which prime number is 83597?
83597 is the 8159th prime number.
What is the sum of the first 8159 primes?
322,824,454.