What is the 6188th prime number?
The 6188th prime number is 61511. The next prime is 61519 (a gap of 8) and the one before is 61507.
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 6188th one is 61511.
- 2
61511 is prime because no prime up to ā61511 ā 248.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6188th prime is close to 6188 Ć ln(6188) ā 54024, and here it is 61511.
- 4
61511 has no twin: neither 61509 nor 61513 is prime.
Primes around the 6188th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6185 | 61487 | 4 |
| 6186 | 61493 | 6 |
| 6187 | 61507 | 14 |
| 6188 | 61511 | 4 |
| 6189 | 61519 | 8 |
| 6190 | 61543 | 24 |
| 6191 | 61547 | 4 |
Questions
What is the 6188th prime number?
61511.
Which prime number is 61511?
61511 is the 6188th prime number.
What is the sum of the first 6188 primes?
179,807,197.