What is the 892nd prime number?
The 892nd prime number is 6949. The next prime is 6959 (a gap of 10) and the one before is 6947.
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 892nd one is 6949.
- 2
6949 is prime because no prime up to ā6949 ā 83.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 892nd prime is close to 892 Ć ln(892) ā 6060, and here it is 6949.
- 4
6949 is a twin prime: 6947 and 6949 are both prime.
Primes around the 892nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 889 | 6911 | 4 |
| 890 | 6917 | 6 |
| 891 | 6947 | 30 |
| 892 | 6949 | 2 |
| 893 | 6959 | 10 |
| 894 | 6961 | 2 |
| 895 | 6967 | 6 |
Questions
What is the 892nd prime number?
6949.
Which prime number is 6949?
6949 is the 892nd prime number.
What is the sum of the first 892 primes?
2,879,665.