What is the 8888th prime number?
The 8888th prime number is 92003. The next prime is 92009 (a gap of 6) and the one before is 91997.
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 8888th one is 92003.
- 2
92003 is prime because no prime up to ā92003 ā 303.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8888th prime is close to 8888 Ć ln(8888) ā 80814, and here it is 92003.
- 4
92003 has no twin: neither 92001 nor 92005 is prime.
Primes around the 8888th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8885 | 91967 | 6 |
| 8886 | 91969 | 2 |
| 8887 | 91997 | 28 |
| 8888 | 92003 | 6 |
| 8889 | 92009 | 6 |
| 8890 | 92033 | 24 |
| 8891 | 92041 | 8 |
Questions
What is the 8888th prime number?
92003.
Which prime number is 92003?
92003 is the 8888th prime number.
What is the sum of the first 8888 primes?
386,848,087.