What is the 3427th prime number?
The 3427th prime number is 31907. The next prime is 31957 (a gap of 50) and the one before is 31891.
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 3427th one is 31907.
- 2
31907 is prime because no prime up to ā31907 ā 178.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3427th prime is close to 3427 Ć ln(3427) ā 27894, and here it is 31907.
- 4
31907 has no twin: neither 31905 nor 31909 is prime.
Primes around the 3427th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3424 | 31873 | 14 |
| 3425 | 31883 | 10 |
| 3426 | 31891 | 8 |
| 3427 | 31907 | 16 |
| 3428 | 31957 | 50 |
| 3429 | 31963 | 6 |
| 3430 | 31973 | 10 |
Questions
What is the 3427th prime number?
31907.
Which prime number is 31907?
31907 is the 3427th prime number.
What is the sum of the first 3427 primes?
51,307,720.