What is the 3195th prime number?
The 3195th prime number is 29401. The next prime is 29411 (a gap of 10) and the one before is 29399.
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 3195th one is 29401.
- 2
29401 is prime because no prime up to ā29401 ā 171.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3195th prime is close to 3195 Ć ln(3195) ā 25782, and here it is 29401.
- 4
29401 is a twin prime: 29399 and 29401 are both prime.
Primes around the 3195th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3192 | 29387 | 4 |
| 3193 | 29389 | 2 |
| 3194 | 29399 | 10 |
| 3195 | 29401 | 2 |
| 3196 | 29411 | 10 |
| 3197 | 29423 | 12 |
| 3198 | 29429 | 6 |
Questions
What is the 3195th prime number?
29401.
Which prime number is 29401?
29401 is the 3195th prime number.
What is the sum of the first 3195 primes?
44,191,148.