What is the 8189th prime number?
The 8189th prime number is 83983. The next prime is 83987 (a gap of 4) and the one before is 83969.
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 8189th one is 83983.
- 2
83983 is prime because no prime up to ā83983 ā 289.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8189th prime is close to 8189 Ć ln(8189) ā 73787, and here it is 83983.
- 4
83983 has no twin: neither 83981 nor 83985 is prime.
Primes around the 8189th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8186 | 83933 | 12 |
| 8187 | 83939 | 6 |
| 8188 | 83969 | 30 |
| 8189 | 83983 | 14 |
| 8190 | 83987 | 4 |
| 8191 | 84011 | 24 |
| 8192 | 84017 | 6 |
Questions
What is the 8189th prime number?
83983.
Which prime number is 83983?
83983 is the 8189th prime number.
What is the sum of the first 8189 primes?
325,338,100.