What is the 887th prime number?
The 887th prime number is 6899. The next prime is 6907 (a gap of 8) and the one before is 6883.
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 887th one is 6899.
- 2
6899 is prime because no prime up to ā6899 ā 83.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 887th prime is close to 887 Ć ln(887) ā 6021, and here it is 6899.
- 4
6899 has no twin: neither 6897 nor 6901 is prime.
Primes around the 887th
| Position | Prime | Gap from the previous |
|---|---|---|
| 884 | 6869 | 6 |
| 885 | 6871 | 2 |
| 886 | 6883 | 12 |
| 887 | 6899 | 16 |
| 888 | 6907 | 8 |
| 889 | 6911 | 4 |
| 890 | 6917 | 6 |
Questions
What is the 887th prime number?
6899.
Which prime number is 6899?
6899 is the 887th prime number.
What is the sum of the first 887 primes?
2,845,034.