What is the 8157th prime number?
The 8157th prime number is 83579. The next prime is 83591 (a gap of 12) and the one before is 83563.
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 8157th one is 83579.
- 2
83579 is prime because no prime up to ā83579 ā 289.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8157th prime is close to 8157 Ć ln(8157) ā 73467, and here it is 83579.
- 4
83579 has no twin: neither 83577 nor 83581 is prime.
Primes around the 8157th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8154 | 83557 | 20 |
| 8155 | 83561 | 4 |
| 8156 | 83563 | 2 |
| 8157 | 83579 | 16 |
| 8158 | 83591 | 12 |
| 8159 | 83597 | 6 |
| 8160 | 83609 | 12 |
Questions
What is the 8157th prime number?
83579.
Which prime number is 83579?
83579 is the 8157th prime number.
What is the sum of the first 8157 primes?
322,657,266.