What is the 5687th prime number?
The 5687th prime number is 56041. The next prime is 56053 (a gap of 12) and the one before is 56039.
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 5687th one is 56041.
- 2
56041 is prime because no prime up to ā56041 ā 236.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5687th prime is close to 5687 Ć ln(5687) ā 49169, and here it is 56041.
- 4
56041 is a twin prime: 56039 and 56041 are both prime.
Primes around the 5687th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5684 | 56003 | 6 |
| 5685 | 56009 | 6 |
| 5686 | 56039 | 30 |
| 5687 | 56041 | 2 |
| 5688 | 56053 | 12 |
| 5689 | 56081 | 28 |
| 5690 | 56087 | 6 |
Questions
What is the 5687th prime number?
56041.
Which prime number is 56041?
56041 is the 5687th prime number.
What is the sum of the first 5687 primes?
150,391,476.