What is the 3181st prime number?
The 3181st prime number is 29269. The next prime is 29287 (a gap of 18) and the one before is 29251.
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 3181st one is 29269.
- 2
29269 is prime because no prime up to ā29269 ā 171.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3181st prime is close to 3181 Ć ln(3181) ā 25655, and here it is 29269.
- 4
29269 has no twin: neither 29267 nor 29271 is prime.
Primes around the 3181st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3178 | 29231 | 10 |
| 3179 | 29243 | 12 |
| 3180 | 29251 | 8 |
| 3181 | 29269 | 18 |
| 3182 | 29287 | 18 |
| 3183 | 29297 | 10 |
| 3184 | 29303 | 6 |
Questions
What is the 3181st prime number?
29269.
Which prime number is 29269?
29269 is the 3181st prime number.
What is the sum of the first 3181 primes?
43,780,282.