What is the 6167th prime number?
The 6167th prime number is 61291. The next prime is 61297 (a gap of 6) and the one before is 61283.
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 6167th one is 61291.
- 2
61291 is prime because no prime up to ā61291 ā 247.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6167th prime is close to 6167 Ć ln(6167) ā 53819, and here it is 61291.
- 4
61291 has no twin: neither 61289 nor 61293 is prime.
Primes around the 6167th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6164 | 61253 | 22 |
| 6165 | 61261 | 8 |
| 6166 | 61283 | 22 |
| 6167 | 61291 | 8 |
| 6168 | 61297 | 6 |
| 6169 | 61331 | 34 |
| 6170 | 61333 | 2 |
Questions
What is the 6167th prime number?
61291.
Which prime number is 61291?
61291 is the 6167th prime number.
What is the sum of the first 6167 primes?
178,517,520.