What is the 2088th prime number?
The 2088th prime number is 18223. The next prime is 18229 (a gap of 6) and the one before is 18217.
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 2088th one is 18223.
- 2
18223 is prime because no prime up to ā18223 ā 134.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2088th prime is close to 2088 Ć ln(2088) ā 15961, and here it is 18223.
- 4
18223 has no twin: neither 18221 nor 18225 is prime.
Primes around the 2088th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2085 | 18199 | 8 |
| 2086 | 18211 | 12 |
| 2087 | 18217 | 6 |
| 2088 | 18223 | 6 |
| 2089 | 18229 | 6 |
| 2090 | 18233 | 4 |
| 2091 | 18251 | 18 |
Questions
What is the 2088th prime number?
18223.
Which prime number is 18223?
18223 is the 2088th prime number.
What is the sum of the first 2088 primes?
17,842,227.