What is the 895th prime number?
The 895th prime number is 6967. The next prime is 6971 (a gap of 4) and the one before is 6961.
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 895th one is 6967.
- 2
6967 is prime because no prime up to ā6967 ā 83.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 895th prime is close to 895 Ć ln(895) ā 6083, and here it is 6967.
- 4
6967 has no twin: neither 6965 nor 6969 is prime.
Primes around the 895th
| Position | Prime | Gap from the previous |
|---|---|---|
| 892 | 6949 | 2 |
| 893 | 6959 | 10 |
| 894 | 6961 | 2 |
| 895 | 6967 | 6 |
| 896 | 6971 | 4 |
| 897 | 6977 | 6 |
| 898 | 6983 | 6 |
Questions
What is the 895th prime number?
6967.
Which prime number is 6967?
6967 is the 895th prime number.
What is the sum of the first 895 primes?
2,900,552.