What is the 3441st prime number?
The 3441st prime number is 32069. The next prime is 32077 (a gap of 8) and the one before is 32063.
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 3441st one is 32069.
- 2
32069 is prime because no prime up to ā32069 ā 179.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3441st prime is close to 3441 Ć ln(3441) ā 28022, and here it is 32069.
- 4
32069 has no twin: neither 32067 nor 32071 is prime.
Primes around the 3441st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3438 | 32057 | 6 |
| 3439 | 32059 | 2 |
| 3440 | 32063 | 4 |
| 3441 | 32069 | 6 |
| 3442 | 32077 | 8 |
| 3443 | 32083 | 6 |
| 3444 | 32089 | 6 |
Questions
What is the 3441st prime number?
32069.
Which prime number is 32069?
32069 is the 3441st prime number.
What is the sum of the first 3441 primes?
51,755,952.