What is the 3192nd prime number?
The 3192nd prime number is 29387. The next prime is 29389 (a gap of 2) and the one before is 29383.
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 3192nd one is 29387.
- 2
29387 is prime because no prime up to ā29387 ā 171.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3192nd prime is close to 3192 Ć ln(3192) ā 25754, and here it is 29387.
- 4
29387 is a twin prime: 29387 and 29389 are both prime.
Primes around the 3192nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3189 | 29347 | 8 |
| 3190 | 29363 | 16 |
| 3191 | 29383 | 20 |
| 3192 | 29387 | 4 |
| 3193 | 29389 | 2 |
| 3194 | 29399 | 10 |
| 3195 | 29401 | 2 |
Questions
What is the 3192nd prime number?
29387.
Which prime number is 29387?
29387 is the 3192nd prime number.
What is the sum of the first 3192 primes?
44,102,959.