What is the 6165th prime number?
The 6165th prime number is 61261. The next prime is 61283 (a gap of 22) and the one before is 61253.
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 6165th one is 61261.
- 2
61261 is prime because no prime up to ā61261 ā 247.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6165th prime is close to 6165 Ć ln(6165) ā 53800, and here it is 61261.
- 4
61261 has no twin: neither 61259 nor 61263 is prime.
Primes around the 6165th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6162 | 61223 | 12 |
| 6163 | 61231 | 8 |
| 6164 | 61253 | 22 |
| 6165 | 61261 | 8 |
| 6166 | 61283 | 22 |
| 6167 | 61291 | 8 |
| 6168 | 61297 | 6 |
Questions
What is the 6165th prime number?
61261.
Which prime number is 61261?
61261 is the 6165th prime number.
What is the sum of the first 6165 primes?
178,394,946.