What is the 6164th prime number?
The 6164th prime number is 61253. The next prime is 61261 (a gap of 8) and the one before is 61231.
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 6164th one is 61253.
- 2
61253 is prime because no prime up to ā61253 ā 247.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6164th prime is close to 6164 Ć ln(6164) ā 53790, and here it is 61253.
- 4
61253 has no twin: neither 61251 nor 61255 is prime.
Primes around the 6164th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6161 | 61211 | 42 |
| 6162 | 61223 | 12 |
| 6163 | 61231 | 8 |
| 6164 | 61253 | 22 |
| 6165 | 61261 | 8 |
| 6166 | 61283 | 22 |
| 6167 | 61291 | 8 |
Questions
What is the 6164th prime number?
61253.
Which prime number is 61253?
61253 is the 6164th prime number.
What is the sum of the first 6164 primes?
178,333,685.