What is the 8103rd prime number?
The 8103rd prime number is 82939. The next prime is 82963 (a gap of 24) and the one before is 82913.
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 8103rd one is 82939.
- 2
82939 is prime because no prime up to ā82939 ā 287.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8103rd prime is close to 8103 Ć ln(8103) ā 72927, and here it is 82939.
- 4
82939 has no twin: neither 82937 nor 82941 is prime.
Primes around the 8103rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8100 | 82891 | 2 |
| 8101 | 82903 | 12 |
| 8102 | 82913 | 10 |
| 8103 | 82939 | 26 |
| 8104 | 82963 | 24 |
| 8105 | 82981 | 18 |
| 8106 | 82997 | 16 |
Questions
What is the 8103rd prime number?
82939.
Which prime number is 82939?
82939 is the 8103rd prime number.
What is the sum of the first 8103 primes?
318,160,482.