What is the 3423rd prime number?
The 3423rd prime number is 31859. The next prime is 31873 (a gap of 14) and the one before is 31849.
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 3423rd one is 31859.
- 2
31859 is prime because no prime up to ā31859 ā 178.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3423rd prime is close to 3423 Ć ln(3423) ā 27857, and here it is 31859.
- 4
31859 has no twin: neither 31857 nor 31861 is prime.
Primes around the 3423rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3420 | 31817 | 18 |
| 3421 | 31847 | 30 |
| 3422 | 31849 | 2 |
| 3423 | 31859 | 10 |
| 3424 | 31873 | 14 |
| 3425 | 31883 | 10 |
| 3426 | 31891 | 8 |
Questions
What is the 3423rd prime number?
31859.
Which prime number is 31859?
31859 is the 3423rd prime number.
What is the sum of the first 3423 primes?
51,180,166.