What is the 3179th prime number?
The 3179th prime number is 29243. The next prime is 29251 (a gap of 8) and the one before is 29231.
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 3179th one is 29243.
- 2
29243 is prime because no prime up to ā29243 ā 171.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3179th prime is close to 3179 Ć ln(3179) ā 25636, and here it is 29243.
- 4
29243 has no twin: neither 29241 nor 29245 is prime.
Primes around the 3179th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3176 | 29209 | 2 |
| 3177 | 29221 | 12 |
| 3178 | 29231 | 10 |
| 3179 | 29243 | 12 |
| 3180 | 29251 | 8 |
| 3181 | 29269 | 18 |
| 3182 | 29287 | 18 |
Questions
What is the 3179th prime number?
29243.
Which prime number is 29243?
29243 is the 3179th prime number.
What is the sum of the first 3179 primes?
43,721,762.