What is the 3644th prime number?
The 3644th prime number is 34061. The next prime is 34123 (a gap of 62) and the one before is 34057.
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 3644th one is 34061.
- 2
34061 is prime because no prime up to ā34061 ā 184.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3644th prime is close to 3644 Ć ln(3644) ā 29884, and here it is 34061.
- 4
34061 has no twin: neither 34059 nor 34063 is prime.
Primes around the 3644th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3641 | 34033 | 2 |
| 3642 | 34039 | 6 |
| 3643 | 34057 | 18 |
| 3644 | 34061 | 4 |
| 3645 | 34123 | 62 |
| 3646 | 34127 | 4 |
| 3647 | 34129 | 2 |
Questions
What is the 3644th prime number?
34061.
Which prime number is 34061?
34061 is the 3644th prime number.
What is the sum of the first 3644 primes?
58,466,277.