What is the 8102nd prime number?
The 8102nd prime number is 82913. The next prime is 82939 (a gap of 26) and the one before is 82903.
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 8102nd one is 82913.
- 2
82913 is prime because no prime up to ā82913 ā 287.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8102nd prime is close to 8102 Ć ln(8102) ā 72917, and here it is 82913.
- 4
82913 has no twin: neither 82911 nor 82915 is prime.
Primes around the 8102nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8099 | 82889 | 6 |
| 8100 | 82891 | 2 |
| 8101 | 82903 | 12 |
| 8102 | 82913 | 10 |
| 8103 | 82939 | 26 |
| 8104 | 82963 | 24 |
| 8105 | 82981 | 18 |
Questions
What is the 8102nd prime number?
82913.
Which prime number is 82913?
82913 is the 8102nd prime number.
What is the sum of the first 8102 primes?
318,077,543.