What is the 3428th prime number?
The 3428th prime number is 31957. The next prime is 31963 (a gap of 6) and the one before is 31907.
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 3428th one is 31957.
- 2
31957 is prime because no prime up to ā31957 ā 178.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3428th prime is close to 3428 Ć ln(3428) ā 27903, and here it is 31957.
- 4
31957 has no twin: neither 31955 nor 31959 is prime.
Primes around the 3428th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3425 | 31883 | 10 |
| 3426 | 31891 | 8 |
| 3427 | 31907 | 16 |
| 3428 | 31957 | 50 |
| 3429 | 31963 | 6 |
| 3430 | 31973 | 10 |
| 3431 | 31981 | 8 |
Questions
What is the 3428th prime number?
31957.
Which prime number is 31957?
31957 is the 3428th prime number.
What is the sum of the first 3428 primes?
51,339,677.