What is the 891st prime number?
The 891st prime number is 6947. The next prime is 6949 (a gap of 2) and the one before is 6917.
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 891st one is 6947.
- 2
6947 is prime because no prime up to ā6947 ā 83.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 891st prime is close to 891 Ć ln(891) ā 6052, and here it is 6947.
- 4
6947 is a twin prime: 6947 and 6949 are both prime.
Primes around the 891st
| Position | Prime | Gap from the previous |
|---|---|---|
| 888 | 6907 | 8 |
| 889 | 6911 | 4 |
| 890 | 6917 | 6 |
| 891 | 6947 | 30 |
| 892 | 6949 | 2 |
| 893 | 6959 | 10 |
| 894 | 6961 | 2 |
Questions
What is the 891st prime number?
6947.
Which prime number is 6947?
6947 is the 891st prime number.
What is the sum of the first 891 primes?
2,872,716.