What is the 3442nd prime number?
The 3442nd prime number is 32077. The next prime is 32083 (a gap of 6) and the one before is 32069.
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 3442nd one is 32077.
- 2
32077 is prime because no prime up to ā32077 ā 179.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3442nd prime is close to 3442 Ć ln(3442) ā 28031, and here it is 32077.
- 4
32077 has no twin: neither 32075 nor 32079 is prime.
Primes around the 3442nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3439 | 32059 | 2 |
| 3440 | 32063 | 4 |
| 3441 | 32069 | 6 |
| 3442 | 32077 | 8 |
| 3443 | 32083 | 6 |
| 3444 | 32089 | 6 |
| 3445 | 32099 | 10 |
Questions
What is the 3442nd prime number?
32077.
Which prime number is 32077?
32077 is the 3442nd prime number.
What is the sum of the first 3442 primes?
51,788,029.