What is the 8190th prime number?
The 8190th prime number is 83987. The next prime is 84011 (a gap of 24) and the one before is 83983.
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 8190th one is 83987.
- 2
83987 is prime because no prime up to ā83987 ā 289.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8190th prime is close to 8190 Ć ln(8190) ā 73797, and here it is 83987.
- 4
83987 has no twin: neither 83985 nor 83989 is prime.
Primes around the 8190th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8187 | 83939 | 6 |
| 8188 | 83969 | 30 |
| 8189 | 83983 | 14 |
| 8190 | 83987 | 4 |
| 8191 | 84011 | 24 |
| 8192 | 84017 | 6 |
| 8193 | 84047 | 30 |
Questions
What is the 8190th prime number?
83987.
Which prime number is 83987?
83987 is the 8190th prime number.
What is the sum of the first 8190 primes?
325,422,087.