What is the 3426th prime number?
The 3426th prime number is 31891. The next prime is 31907 (a gap of 16) and the one before is 31883.
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 3426th one is 31891.
- 2
31891 is prime because no prime up to ā31891 ā 178.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3426th prime is close to 3426 Ć ln(3426) ā 27885, and here it is 31891.
- 4
31891 has no twin: neither 31889 nor 31893 is prime.
Primes around the 3426th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3423 | 31859 | 10 |
| 3424 | 31873 | 14 |
| 3425 | 31883 | 10 |
| 3426 | 31891 | 8 |
| 3427 | 31907 | 16 |
| 3428 | 31957 | 50 |
| 3429 | 31963 | 6 |
Questions
What is the 3426th prime number?
31891.
Which prime number is 31891?
31891 is the 3426th prime number.
What is the sum of the first 3426 primes?
51,275,813.