What is the 3417th prime number?
The 3417th prime number is 31771. The next prime is 31793 (a gap of 22) and the one before is 31769.
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 3417th one is 31771.
- 2
31771 is prime because no prime up to ā31771 ā 178.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3417th prime is close to 3417 Ć ln(3417) ā 27802, and here it is 31771.
- 4
31771 is a twin prime: 31769 and 31771 are both prime.
Primes around the 3417th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3414 | 31741 | 12 |
| 3415 | 31751 | 10 |
| 3416 | 31769 | 18 |
| 3417 | 31771 | 2 |
| 3418 | 31793 | 22 |
| 3419 | 31799 | 6 |
| 3420 | 31817 | 18 |
Questions
What is the 3417th prime number?
31771.
Which prime number is 31771?
31771 is the 3417th prime number.
What is the sum of the first 3417 primes?
50,989,202.