What is the 888th prime number?
The 888th prime number is 6907. The next prime is 6911 (a gap of 4) and the one before is 6899.
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 888th one is 6907.
- 2
6907 is prime because no prime up to ā6907 ā 83.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 888th prime is close to 888 Ć ln(888) ā 6029, and here it is 6907.
- 4
6907 has no twin: neither 6905 nor 6909 is prime.
Primes around the 888th
| Position | Prime | Gap from the previous |
|---|---|---|
| 885 | 6871 | 2 |
| 886 | 6883 | 12 |
| 887 | 6899 | 16 |
| 888 | 6907 | 8 |
| 889 | 6911 | 4 |
| 890 | 6917 | 6 |
| 891 | 6947 | 30 |
Questions
What is the 888th prime number?
6907.
Which prime number is 6907?
6907 is the 888th prime number.
What is the sum of the first 888 primes?
2,851,941.