What is the 3178th prime number?
The 3178th prime number is 29231. The next prime is 29243 (a gap of 12) and the one before is 29221.
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 3178th one is 29231.
- 2
29231 is prime because no prime up to ā29231 ā 170.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3178th prime is close to 3178 Ć ln(3178) ā 25627, and here it is 29231.
- 4
29231 has no twin: neither 29229 nor 29233 is prime.
Primes around the 3178th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3175 | 29207 | 6 |
| 3176 | 29209 | 2 |
| 3177 | 29221 | 12 |
| 3178 | 29231 | 10 |
| 3179 | 29243 | 12 |
| 3180 | 29251 | 8 |
| 3181 | 29269 | 18 |
Questions
What is the 3178th prime number?
29231.
Which prime number is 29231?
29231 is the 3178th prime number.
What is the sum of the first 3178 primes?
43,692,519.