What is the 8187th prime number?
The 8187th prime number is 83939. The next prime is 83969 (a gap of 30) and the one before is 83933.
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 8187th one is 83939.
- 2
83939 is prime because no prime up to ā83939 ā 289.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8187th prime is close to 8187 Ć ln(8187) ā 73767, and here it is 83939.
- 4
83939 has no twin: neither 83937 nor 83941 is prime.
Primes around the 8187th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8184 | 83911 | 8 |
| 8185 | 83921 | 10 |
| 8186 | 83933 | 12 |
| 8187 | 83939 | 6 |
| 8188 | 83969 | 30 |
| 8189 | 83983 | 14 |
| 8190 | 83987 | 4 |
Questions
What is the 8187th prime number?
83939.
Which prime number is 83939?
83939 is the 8187th prime number.
What is the sum of the first 8187 primes?
325,170,148.