What is the 6182nd prime number?
The 6182nd prime number is 61469. The next prime is 61471 (a gap of 2) and the one before is 61463.
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 6182nd one is 61469.
- 2
61469 is prime because no prime up to ā61469 ā 247.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6182nd prime is close to 6182 Ć ln(6182) ā 53965, and here it is 61469.
- 4
61469 is a twin prime: 61469 and 61471 are both prime.
Primes around the 6182nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6179 | 61417 | 8 |
| 6180 | 61441 | 24 |
| 6181 | 61463 | 22 |
| 6182 | 61469 | 6 |
| 6183 | 61471 | 2 |
| 6184 | 61483 | 12 |
| 6185 | 61487 | 4 |
Questions
What is the 6182nd prime number?
61469.
Which prime number is 61469?
61469 is the 6182nd prime number.
What is the sum of the first 6182 primes?
179,438,245.