What is the 2103rd prime number?
The 2103rd prime number is 18353. The next prime is 18367 (a gap of 14) and the one before is 18341.
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 2103rd one is 18353.
- 2
18353 is prime because no prime up to ā18353 ā 135.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2103rd prime is close to 2103 Ć ln(2103) ā 16090, and here it is 18353.
- 4
18353 has no twin: neither 18351 nor 18355 is prime.
Primes around the 2103rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2100 | 18313 | 2 |
| 2101 | 18329 | 16 |
| 2102 | 18341 | 12 |
| 2103 | 18353 | 12 |
| 2104 | 18367 | 14 |
| 2105 | 18371 | 4 |
| 2106 | 18379 | 8 |
Questions
What is the 2103rd prime number?
18353.
Which prime number is 18353?
18353 is the 2103rd prime number.
What is the sum of the first 2103 primes?
18,116,550.