What is the 3440th prime number?
The 3440th prime number is 32063. The next prime is 32069 (a gap of 6) and the one before is 32059.
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 3440th one is 32063.
- 2
32063 is prime because no prime up to ā32063 ā 179.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3440th prime is close to 3440 Ć ln(3440) ā 28013, and here it is 32063.
- 4
32063 has no twin: neither 32061 nor 32065 is prime.
Primes around the 3440th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3437 | 32051 | 22 |
| 3438 | 32057 | 6 |
| 3439 | 32059 | 2 |
| 3440 | 32063 | 4 |
| 3441 | 32069 | 6 |
| 3442 | 32077 | 8 |
| 3443 | 32083 | 6 |
Questions
What is the 3440th prime number?
32063.
Which prime number is 32063?
32063 is the 3440th prime number.
What is the sum of the first 3440 primes?
51,723,883.