What is the 6187th prime number?
The 6187th prime number is 61507. The next prime is 61511 (a gap of 4) and the one before is 61493.
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 6187th one is 61507.
- 2
61507 is prime because no prime up to ā61507 ā 248.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6187th prime is close to 6187 Ć ln(6187) ā 54014, and here it is 61507.
- 4
61507 has no twin: neither 61505 nor 61509 is prime.
Primes around the 6187th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6184 | 61483 | 12 |
| 6185 | 61487 | 4 |
| 6186 | 61493 | 6 |
| 6187 | 61507 | 14 |
| 6188 | 61511 | 4 |
| 6189 | 61519 | 8 |
| 6190 | 61543 | 24 |
Questions
What is the 6187th prime number?
61507.
Which prime number is 61507?
61507 is the 6187th prime number.
What is the sum of the first 6187 primes?
179,745,686.