What is the 896th prime number?
The 896th prime number is 6971. The next prime is 6977 (a gap of 6) and the one before is 6967.
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 896th one is 6971.
- 2
6971 is prime because no prime up to ā6971 ā 83.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 896th prime is close to 896 Ć ln(896) ā 6091, and here it is 6971.
- 4
6971 has no twin: neither 6969 nor 6973 is prime.
Primes around the 896th
| Position | Prime | Gap from the previous |
|---|---|---|
| 893 | 6959 | 10 |
| 894 | 6961 | 2 |
| 895 | 6967 | 6 |
| 896 | 6971 | 4 |
| 897 | 6977 | 6 |
| 898 | 6983 | 6 |
| 899 | 6991 | 8 |
Questions
What is the 896th prime number?
6971.
Which prime number is 6971?
6971 is the 896th prime number.
What is the sum of the first 896 primes?
2,907,523.