What is the 3199th prime number?
The 3199th prime number is 29437. The next prime is 29443 (a gap of 6) and the one before is 29429.
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 3199th one is 29437.
- 2
29437 is prime because no prime up to ā29437 ā 171.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3199th prime is close to 3199 Ć ln(3199) ā 25818, and here it is 29437.
- 4
29437 has no twin: neither 29435 nor 29439 is prime.
Primes around the 3199th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3196 | 29411 | 10 |
| 3197 | 29423 | 12 |
| 3198 | 29429 | 6 |
| 3199 | 29437 | 8 |
| 3200 | 29443 | 6 |
| 3201 | 29453 | 10 |
| 3202 | 29473 | 20 |
Questions
What is the 3199th prime number?
29437.
Which prime number is 29437?
29437 is the 3199th prime number.
What is the sum of the first 3199 primes?
44,308,848.