What is the 6166th prime number?
The 6166th prime number is 61283. The next prime is 61291 (a gap of 8) and the one before is 61261.
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 6166th one is 61283.
- 2
61283 is prime because no prime up to ā61283 ā 247.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6166th prime is close to 6166 Ć ln(6166) ā 53809, and here it is 61283.
- 4
61283 has no twin: neither 61281 nor 61285 is prime.
Primes around the 6166th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6163 | 61231 | 8 |
| 6164 | 61253 | 22 |
| 6165 | 61261 | 8 |
| 6166 | 61283 | 22 |
| 6167 | 61291 | 8 |
| 6168 | 61297 | 6 |
| 6169 | 61331 | 34 |
Questions
What is the 6166th prime number?
61283.
Which prime number is 61283?
61283 is the 6166th prime number.
What is the sum of the first 6166 primes?
178,456,229.