What is the 3438th prime number?
The 3438th prime number is 32057. The next prime is 32059 (a gap of 2) and the one before is 32051.
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 3438th one is 32057.
- 2
32057 is prime because no prime up to ā32057 ā 179.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3438th prime is close to 3438 Ć ln(3438) ā 27994, and here it is 32057.
- 4
32057 is a twin prime: 32057 and 32059 are both prime.
Primes around the 3438th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3435 | 32027 | 18 |
| 3436 | 32029 | 2 |
| 3437 | 32051 | 22 |
| 3438 | 32057 | 6 |
| 3439 | 32059 | 2 |
| 3440 | 32063 | 4 |
| 3441 | 32069 | 6 |
Questions
What is the 3438th prime number?
32057.
Which prime number is 32057?
32057 is the 3438th prime number.
What is the sum of the first 3438 primes?
51,659,761.