What is the 8156th prime number?
The 8156th prime number is 83563. The next prime is 83579 (a gap of 16) and the one before is 83561.
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 8156th one is 83563.
- 2
83563 is prime because no prime up to ā83563 ā 289.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8156th prime is close to 8156 Ć ln(8156) ā 73457, and here it is 83563.
- 4
83563 is a twin prime: 83561 and 83563 are both prime.
Primes around the 8156th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8153 | 83537 | 40 |
| 8154 | 83557 | 20 |
| 8155 | 83561 | 4 |
| 8156 | 83563 | 2 |
| 8157 | 83579 | 16 |
| 8158 | 83591 | 12 |
| 8159 | 83597 | 6 |
Questions
What is the 8156th prime number?
83563.
Which prime number is 83563?
83563 is the 8156th prime number.
What is the sum of the first 8156 primes?
322,573,687.