What is the 3425th prime number?
The 3425th prime number is 31883. The next prime is 31891 (a gap of 8) and the one before is 31873.
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 3425th one is 31883.
- 2
31883 is prime because no prime up to ā31883 ā 178.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3425th prime is close to 3425 Ć ln(3425) ā 27876, and here it is 31883.
- 4
31883 has no twin: neither 31881 nor 31885 is prime.
Primes around the 3425th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3422 | 31849 | 2 |
| 3423 | 31859 | 10 |
| 3424 | 31873 | 14 |
| 3425 | 31883 | 10 |
| 3426 | 31891 | 8 |
| 3427 | 31907 | 16 |
| 3428 | 31957 | 50 |
Questions
What is the 3425th prime number?
31883.
Which prime number is 31883?
31883 is the 3425th prime number.
What is the sum of the first 3425 primes?
51,243,922.