What is the 3182nd prime number?
The 3182nd prime number is 29287. The next prime is 29297 (a gap of 10) and the one before is 29269.
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 3182nd one is 29287.
- 2
29287 is prime because no prime up to ā29287 ā 171.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3182nd prime is close to 3182 Ć ln(3182) ā 25664, and here it is 29287.
- 4
29287 has no twin: neither 29285 nor 29289 is prime.
Primes around the 3182nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3179 | 29243 | 12 |
| 3180 | 29251 | 8 |
| 3181 | 29269 | 18 |
| 3182 | 29287 | 18 |
| 3183 | 29297 | 10 |
| 3184 | 29303 | 6 |
| 3185 | 29311 | 8 |
Questions
What is the 3182nd prime number?
29287.
Which prime number is 29287?
29287 is the 3182nd prime number.
What is the sum of the first 3182 primes?
43,809,569.