What is the 3180th prime number?
The 3180th prime number is 29251. The next prime is 29269 (a gap of 18) and the one before is 29243.
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 3180th one is 29251.
- 2
29251 is prime because no prime up to ā29251 ā 171.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3180th prime is close to 3180 Ć ln(3180) ā 25646, and here it is 29251.
- 4
29251 has no twin: neither 29249 nor 29253 is prime.
Primes around the 3180th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3177 | 29221 | 12 |
| 3178 | 29231 | 10 |
| 3179 | 29243 | 12 |
| 3180 | 29251 | 8 |
| 3181 | 29269 | 18 |
| 3182 | 29287 | 18 |
| 3183 | 29297 | 10 |
Questions
What is the 3180th prime number?
29251.
Which prime number is 29251?
29251 is the 3180th prime number.
What is the sum of the first 3180 primes?
43,751,013.