What is the 8106th prime number?
The 8106th prime number is 82997. The next prime is 83003 (a gap of 6) and the one before is 82981.
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 8106th one is 82997.
- 2
82997 is prime because no prime up to ā82997 ā 288.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8106th prime is close to 8106 Ć ln(8106) ā 72957, and here it is 82997.
- 4
82997 has no twin: neither 82995 nor 82999 is prime.
Primes around the 8106th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8103 | 82939 | 26 |
| 8104 | 82963 | 24 |
| 8105 | 82981 | 18 |
| 8106 | 82997 | 16 |
| 8107 | 83003 | 6 |
| 8108 | 83009 | 6 |
| 8109 | 83023 | 14 |
Questions
What is the 8106th prime number?
82997.
Which prime number is 82997?
82997 is the 8106th prime number.
What is the sum of the first 8106 primes?
318,409,423.