What is the 8105th prime number?
The 8105th prime number is 82981. The next prime is 82997 (a gap of 16) and the one before is 82963.
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 8105th one is 82981.
- 2
82981 is prime because no prime up to ā82981 ā 288.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8105th prime is close to 8105 Ć ln(8105) ā 72947, and here it is 82981.
- 4
82981 has no twin: neither 82979 nor 82983 is prime.
Primes around the 8105th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8102 | 82913 | 10 |
| 8103 | 82939 | 26 |
| 8104 | 82963 | 24 |
| 8105 | 82981 | 18 |
| 8106 | 82997 | 16 |
| 8107 | 83003 | 6 |
| 8108 | 83009 | 6 |
Questions
What is the 8105th prime number?
82981.
Which prime number is 82981?
82981 is the 8105th prime number.
What is the sum of the first 8105 primes?
318,326,426.