What is the 3414th prime number?
The 3414th prime number is 31741. The next prime is 31751 (a gap of 10) and the one before is 31729.
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 3414th one is 31741.
- 2
31741 is prime because no prime up to ā31741 ā 178.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3414th prime is close to 3414 Ć ln(3414) ā 27775, and here it is 31741.
- 4
31741 has no twin: neither 31739 nor 31743 is prime.
Primes around the 3414th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3411 | 31723 | 2 |
| 3412 | 31727 | 4 |
| 3413 | 31729 | 2 |
| 3414 | 31741 | 12 |
| 3415 | 31751 | 10 |
| 3416 | 31769 | 18 |
| 3417 | 31771 | 2 |
Questions
What is the 3414th prime number?
31741.
Which prime number is 31741?
31741 is the 3414th prime number.
What is the sum of the first 3414 primes?
50,893,911.