What is the 2093rd prime number?
The 2093rd prime number is 18257. The next prime is 18269 (a gap of 12) and the one before is 18253.
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 2093rd one is 18257.
- 2
18257 is prime because no prime up to ā18257 ā 135.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2093rd prime is close to 2093 Ć ln(2093) ā 16004, and here it is 18257.
- 4
18257 has no twin: neither 18255 nor 18259 is prime.
Primes around the 2093rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2090 | 18233 | 4 |
| 2091 | 18251 | 18 |
| 2092 | 18253 | 2 |
| 2093 | 18257 | 4 |
| 2094 | 18269 | 12 |
| 2095 | 18287 | 18 |
| 2096 | 18289 | 2 |
Questions
What is the 2093rd prime number?
18257.
Which prime number is 18257?
18257 is the 2093rd prime number.
What is the sum of the first 2093 primes?
17,933,450.