What is the 3640th prime number?
The 3640th prime number is 34031. The next prime is 34033 (a gap of 2) and the one before is 34019.
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 3640th one is 34031.
- 2
34031 is prime because no prime up to ā34031 ā 184.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3640th prime is close to 3640 Ć ln(3640) ā 29847, and here it is 34031.
- 4
34031 is a twin prime: 34031 and 34033 are both prime.
Primes around the 3640th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3637 | 33967 | 6 |
| 3638 | 33997 | 30 |
| 3639 | 34019 | 22 |
| 3640 | 34031 | 12 |
| 3641 | 34033 | 2 |
| 3642 | 34039 | 6 |
| 3643 | 34057 | 18 |
Questions
What is the 3640th prime number?
34031.
Which prime number is 34031?
34031 is the 3640th prime number.
What is the sum of the first 3640 primes?
58,330,087.