What is the 6183rd prime number?
The 6183rd prime number is 61471. The next prime is 61483 (a gap of 12) and the one before is 61469.
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 6183rd one is 61471.
- 2
61471 is prime because no prime up to ā61471 ā 247.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6183rd prime is close to 6183 Ć ln(6183) ā 53975, and here it is 61471.
- 4
61471 is a twin prime: 61469 and 61471 are both prime.
Primes around the 6183rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6180 | 61441 | 24 |
| 6181 | 61463 | 22 |
| 6182 | 61469 | 6 |
| 6183 | 61471 | 2 |
| 6184 | 61483 | 12 |
| 6185 | 61487 | 4 |
| 6186 | 61493 | 6 |
Questions
What is the 6183rd prime number?
61471.
Which prime number is 61471?
61471 is the 6183rd prime number.
What is the sum of the first 6183 primes?
179,499,716.