What is the 3418th prime number?
The 3418th prime number is 31793. The next prime is 31799 (a gap of 6) and the one before is 31771.
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 3418th one is 31793.
- 2
31793 is prime because no prime up to ā31793 ā 178.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3418th prime is close to 3418 Ć ln(3418) ā 27812, and here it is 31793.
- 4
31793 has no twin: neither 31791 nor 31795 is prime.
Primes around the 3418th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3415 | 31751 | 10 |
| 3416 | 31769 | 18 |
| 3417 | 31771 | 2 |
| 3418 | 31793 | 22 |
| 3419 | 31799 | 6 |
| 3420 | 31817 | 18 |
| 3421 | 31847 | 30 |
Questions
What is the 3418th prime number?
31793.
Which prime number is 31793?
31793 is the 3418th prime number.
What is the sum of the first 3418 primes?
51,020,995.