What is the 894th prime number?
The 894th prime number is 6961. The next prime is 6967 (a gap of 6) and the one before is 6959.
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 894th one is 6961.
- 2
6961 is prime because no prime up to ā6961 ā 83.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 894th prime is close to 894 Ć ln(894) ā 6075, and here it is 6961.
- 4
6961 is a twin prime: 6959 and 6961 are both prime.
Primes around the 894th
| Position | Prime | Gap from the previous |
|---|---|---|
| 891 | 6947 | 30 |
| 892 | 6949 | 2 |
| 893 | 6959 | 10 |
| 894 | 6961 | 2 |
| 895 | 6967 | 6 |
| 896 | 6971 | 4 |
| 897 | 6977 | 6 |
Questions
What is the 894th prime number?
6961.
Which prime number is 6961?
6961 is the 894th prime number.
What is the sum of the first 894 primes?
2,893,585.