What is the 898th prime number?
The 898th prime number is 6983. The next prime is 6991 (a gap of 8) and the one before is 6977.
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 898th one is 6983.
- 2
6983 is prime because no prime up to ā6983 ā 83.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 898th prime is close to 898 Ć ln(898) ā 6107, and here it is 6983.
- 4
6983 has no twin: neither 6981 nor 6985 is prime.
Primes around the 898th
| Position | Prime | Gap from the previous |
|---|---|---|
| 895 | 6967 | 6 |
| 896 | 6971 | 4 |
| 897 | 6977 | 6 |
| 898 | 6983 | 6 |
| 899 | 6991 | 8 |
| 900 | 6997 | 6 |
| 901 | 7001 | 4 |
Questions
What is the 898th prime number?
6983.
Which prime number is 6983?
6983 is the 898th prime number.
What is the sum of the first 898 primes?
2,921,483.