What is the 2102nd prime number?
The 2102nd prime number is 18341. The next prime is 18353 (a gap of 12) and the one before is 18329.
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 2102nd one is 18341.
- 2
18341 is prime because no prime up to ā18341 ā 135.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2102nd prime is close to 2102 Ć ln(2102) ā 16082, and here it is 18341.
- 4
18341 has no twin: neither 18339 nor 18343 is prime.
Primes around the 2102nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2099 | 18311 | 4 |
| 2100 | 18313 | 2 |
| 2101 | 18329 | 16 |
| 2102 | 18341 | 12 |
| 2103 | 18353 | 12 |
| 2104 | 18367 | 14 |
| 2105 | 18371 | 4 |
Questions
What is the 2102nd prime number?
18341.
Which prime number is 18341?
18341 is the 2102nd prime number.
What is the sum of the first 2102 primes?
18,098,197.