What is the 8887th prime number?
The 8887th prime number is 91997. The next prime is 92003 (a gap of 6) and the one before is 91969.
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 8887th one is 91997.
- 2
91997 is prime because no prime up to ā91997 ā 303.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8887th prime is close to 8887 Ć ln(8887) ā 80804, and here it is 91997.
- 4
91997 has no twin: neither 91995 nor 91999 is prime.
Primes around the 8887th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8884 | 91961 | 4 |
| 8885 | 91967 | 6 |
| 8886 | 91969 | 2 |
| 8887 | 91997 | 28 |
| 8888 | 92003 | 6 |
| 8889 | 92009 | 6 |
| 8890 | 92033 | 24 |
Questions
What is the 8887th prime number?
91997.
Which prime number is 91997?
91997 is the 8887th prime number.
What is the sum of the first 8887 primes?
386,756,084.