What is the 6170th prime number?
The 6170th prime number is 61333. The next prime is 61339 (a gap of 6) and the one before is 61331.
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 6170th one is 61333.
- 2
61333 is prime because no prime up to ā61333 ā 247.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6170th prime is close to 6170 Ć ln(6170) ā 53848, and here it is 61333.
- 4
61333 is a twin prime: 61331 and 61333 are both prime.
Primes around the 6170th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6167 | 61291 | 8 |
| 6168 | 61297 | 6 |
| 6169 | 61331 | 34 |
| 6170 | 61333 | 2 |
| 6171 | 61339 | 6 |
| 6172 | 61343 | 4 |
| 6173 | 61357 | 14 |
Questions
What is the 6170th prime number?
61333.
Which prime number is 61333?
61333 is the 6170th prime number.
What is the sum of the first 6170 primes?
178,701,481.