What is the 6181st prime number?
The 6181st prime number is 61463. The next prime is 61469 (a gap of 6) and the one before is 61441.
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 6181st one is 61463.
- 2
61463 is prime because no prime up to ā61463 ā 247.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6181st prime is close to 6181 Ć ln(6181) ā 53955, and here it is 61463.
- 4
61463 has no twin: neither 61461 nor 61465 is prime.
Primes around the 6181st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6178 | 61409 | 6 |
| 6179 | 61417 | 8 |
| 6180 | 61441 | 24 |
| 6181 | 61463 | 22 |
| 6182 | 61469 | 6 |
| 6183 | 61471 | 2 |
| 6184 | 61483 | 12 |
Questions
What is the 6181st prime number?
61463.
Which prime number is 61463?
61463 is the 6181st prime number.
What is the sum of the first 6181 primes?
179,376,776.