What is the 3641st prime number?
The 3641st prime number is 34033. The next prime is 34039 (a gap of 6) and the one before is 34031.
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 3641st one is 34033.
- 2
34033 is prime because no prime up to ā34033 ā 184.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3641st prime is close to 3641 Ć ln(3641) ā 29856, and here it is 34033.
- 4
34033 is a twin prime: 34031 and 34033 are both prime.
Primes around the 3641st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3638 | 33997 | 30 |
| 3639 | 34019 | 22 |
| 3640 | 34031 | 12 |
| 3641 | 34033 | 2 |
| 3642 | 34039 | 6 |
| 3643 | 34057 | 18 |
| 3644 | 34061 | 4 |
Questions
What is the 3641st prime number?
34033.
Which prime number is 34033?
34033 is the 3641st prime number.
What is the sum of the first 3641 primes?
58,364,120.