What is the 8100th prime number?
The 8100th prime number is 82891. The next prime is 82903 (a gap of 12) and the one before is 82889.
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 8100th one is 82891.
- 2
82891 is prime because no prime up to ā82891 ā 287.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8100th prime is close to 8100 Ć ln(8100) ā 72897, and here it is 82891.
- 4
82891 is a twin prime: 82889 and 82891 are both prime.
Primes around the 8100th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8097 | 82847 | 10 |
| 8098 | 82883 | 36 |
| 8099 | 82889 | 6 |
| 8100 | 82891 | 2 |
| 8101 | 82903 | 12 |
| 8102 | 82913 | 10 |
| 8103 | 82939 | 26 |
Questions
What is the 8100th prime number?
82891.
Which prime number is 82891?
82891 is the 8100th prime number.
What is the sum of the first 8100 primes?
317,911,727.