What is the 6180th prime number?
The 6180th prime number is 61441. The next prime is 61463 (a gap of 22) and the one before is 61417.
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 6180th one is 61441.
- 2
61441 is prime because no prime up to ā61441 ā 247.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6180th prime is close to 6180 Ć ln(6180) ā 53946, and here it is 61441.
- 4
61441 has no twin: neither 61439 nor 61443 is prime.
Primes around the 6180th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6177 | 61403 | 22 |
| 6178 | 61409 | 6 |
| 6179 | 61417 | 8 |
| 6180 | 61441 | 24 |
| 6181 | 61463 | 22 |
| 6182 | 61469 | 6 |
| 6183 | 61471 | 2 |
Questions
What is the 6180th prime number?
61441.
Which prime number is 61441?
61441 is the 6180th prime number.
What is the sum of the first 6180 primes?
179,315,313.