What is the 3197th prime number?
The 3197th prime number is 29423. The next prime is 29429 (a gap of 6) and the one before is 29411.
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 3197th one is 29423.
- 2
29423 is prime because no prime up to ā29423 ā 171.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3197th prime is close to 3197 Ć ln(3197) ā 25800, and here it is 29423.
- 4
29423 has no twin: neither 29421 nor 29425 is prime.
Primes around the 3197th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3194 | 29399 | 10 |
| 3195 | 29401 | 2 |
| 3196 | 29411 | 10 |
| 3197 | 29423 | 12 |
| 3198 | 29429 | 6 |
| 3199 | 29437 | 8 |
| 3200 | 29443 | 6 |
Questions
What is the 3197th prime number?
29423.
Which prime number is 29423?
29423 is the 3197th prime number.
What is the sum of the first 3197 primes?
44,249,982.