What is the 897th prime number?
The 897th prime number is 6977. The next prime is 6983 (a gap of 6) and the one before is 6971.
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 897th one is 6977.
- 2
6977 is prime because no prime up to ā6977 ā 83.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 897th prime is close to 897 Ć ln(897) ā 6099, and here it is 6977.
- 4
6977 has no twin: neither 6975 nor 6979 is prime.
Primes around the 897th
| Position | Prime | Gap from the previous |
|---|---|---|
| 894 | 6961 | 2 |
| 895 | 6967 | 6 |
| 896 | 6971 | 4 |
| 897 | 6977 | 6 |
| 898 | 6983 | 6 |
| 899 | 6991 | 8 |
| 900 | 6997 | 6 |
Questions
What is the 897th prime number?
6977.
Which prime number is 6977?
6977 is the 897th prime number.
What is the sum of the first 897 primes?
2,914,500.