What is the 8104th prime number?
The 8104th prime number is 82963. The next prime is 82981 (a gap of 18) and the one before is 82939.
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 8104th one is 82963.
- 2
82963 is prime because no prime up to ā82963 ā 288.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8104th prime is close to 8104 Ć ln(8104) ā 72937, and here it is 82963.
- 4
82963 has no twin: neither 82961 nor 82965 is prime.
Primes around the 8104th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8101 | 82903 | 12 |
| 8102 | 82913 | 10 |
| 8103 | 82939 | 26 |
| 8104 | 82963 | 24 |
| 8105 | 82981 | 18 |
| 8106 | 82997 | 16 |
| 8107 | 83003 | 6 |
Questions
What is the 8104th prime number?
82963.
Which prime number is 82963?
82963 is the 8104th prime number.
What is the sum of the first 8104 primes?
318,243,445.