What is the 8155th prime number?
The 8155th prime number is 83561. The next prime is 83563 (a gap of 2) and the one before is 83557.
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 8155th one is 83561.
- 2
83561 is prime because no prime up to ā83561 ā 289.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8155th prime is close to 8155 Ć ln(8155) ā 73447, and here it is 83561.
- 4
83561 is a twin prime: 83561 and 83563 are both prime.
Primes around the 8155th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8152 | 83497 | 20 |
| 8153 | 83537 | 40 |
| 8154 | 83557 | 20 |
| 8155 | 83561 | 4 |
| 8156 | 83563 | 2 |
| 8157 | 83579 | 16 |
| 8158 | 83591 | 12 |
Questions
What is the 8155th prime number?
83561.
Which prime number is 83561?
83561 is the 8155th prime number.
What is the sum of the first 8155 primes?
322,490,124.