What is the 3419th prime number?
The 3419th prime number is 31799. The next prime is 31817 (a gap of 18) and the one before is 31793.
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 3419th one is 31799.
- 2
31799 is prime because no prime up to ā31799 ā 178.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3419th prime is close to 3419 Ć ln(3419) ā 27821, and here it is 31799.
- 4
31799 has no twin: neither 31797 nor 31801 is prime.
Primes around the 3419th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3416 | 31769 | 18 |
| 3417 | 31771 | 2 |
| 3418 | 31793 | 22 |
| 3419 | 31799 | 6 |
| 3420 | 31817 | 18 |
| 3421 | 31847 | 30 |
| 3422 | 31849 | 2 |
Questions
What is the 3419th prime number?
31799.
Which prime number is 31799?
31799 is the 3419th prime number.
What is the sum of the first 3419 primes?
51,052,794.