What is the 890th prime number?
The 890th prime number is 6917. The next prime is 6947 (a gap of 30) and the one before is 6911.
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 890th one is 6917.
- 2
6917 is prime because no prime up to ā6917 ā 83.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 890th prime is close to 890 Ć ln(890) ā 6044, and here it is 6917.
- 4
6917 has no twin: neither 6915 nor 6919 is prime.
Primes around the 890th
| Position | Prime | Gap from the previous |
|---|---|---|
| 887 | 6899 | 16 |
| 888 | 6907 | 8 |
| 889 | 6911 | 4 |
| 890 | 6917 | 6 |
| 891 | 6947 | 30 |
| 892 | 6949 | 2 |
| 893 | 6959 | 10 |
Questions
What is the 890th prime number?
6917.
Which prime number is 6917?
6917 is the 890th prime number.
What is the sum of the first 890 primes?
2,865,769.