What is the 3687th prime number?
The 3687th prime number is 34511. The next prime is 34513 (a gap of 2) and the one before is 34501.
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 3687th one is 34511.
- 2
34511 is prime because no prime up to ā34511 ā 185.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3687th prime is close to 3687 Ć ln(3687) ā 30280, and here it is 34511.
- 4
34511 is a twin prime: 34511 and 34513 are both prime.
Primes around the 3687th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3684 | 34487 | 4 |
| 3685 | 34499 | 12 |
| 3686 | 34501 | 2 |
| 3687 | 34511 | 10 |
| 3688 | 34513 | 2 |
| 3689 | 34519 | 6 |
| 3690 | 34537 | 18 |
Questions
What is the 3687th prime number?
34511.
Which prime number is 34511?
34511 is the 3687th prime number.
What is the sum of the first 3687 primes?
59,941,678.