What is the 9087th prime number?
The 9087th prime number is 94207. The next prime is 94219 (a gap of 12) and the one before is 94201.
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 9087th one is 94207.
- 2
94207 is prime because no prime up to ā94207 ā 306.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9087th prime is close to 9087 Ć ln(9087) ā 82824, and here it is 94207.
- 4
94207 has no twin: neither 94205 nor 94209 is prime.
Primes around the 9087th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9084 | 94153 | 2 |
| 9085 | 94169 | 16 |
| 9086 | 94201 | 32 |
| 9087 | 94207 | 6 |
| 9088 | 94219 | 12 |
| 9089 | 94229 | 10 |
| 9090 | 94253 | 24 |
Questions
What is the 9087th prime number?
94207.
Which prime number is 94207?
94207 is the 9087th prime number.
What is the sum of the first 9087 primes?
405,370,324.