What is the 2087th prime number?
The 2087th prime number is 18217. The next prime is 18223 (a gap of 6) and the one before is 18211.
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 2087th one is 18217.
- 2
18217 is prime because no prime up to ā18217 ā 134.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2087th prime is close to 2087 Ć ln(2087) ā 15952, and here it is 18217.
- 4
18217 has no twin: neither 18215 nor 18219 is prime.
Primes around the 2087th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2084 | 18191 | 10 |
| 2085 | 18199 | 8 |
| 2086 | 18211 | 12 |
| 2087 | 18217 | 6 |
| 2088 | 18223 | 6 |
| 2089 | 18229 | 6 |
| 2090 | 18233 | 4 |
Questions
What is the 2087th prime number?
18217.
Which prime number is 18217?
18217 is the 2087th prime number.
What is the sum of the first 2087 primes?
17,824,004.