What is the 893rd prime number?
The 893rd prime number is 6959. The next prime is 6961 (a gap of 2) and the one before is 6949.
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 893rd one is 6959.
- 2
6959 is prime because no prime up to ā6959 ā 83.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 893rd prime is close to 893 Ć ln(893) ā 6068, and here it is 6959.
- 4
6959 is a twin prime: 6959 and 6961 are both prime.
Primes around the 893rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 890 | 6917 | 6 |
| 891 | 6947 | 30 |
| 892 | 6949 | 2 |
| 893 | 6959 | 10 |
| 894 | 6961 | 2 |
| 895 | 6967 | 6 |
| 896 | 6971 | 4 |
Questions
What is the 893rd prime number?
6959.
Which prime number is 6959?
6959 is the 893rd prime number.
What is the sum of the first 893 primes?
2,886,624.