What is the 3779th prime number?
The 3779th prime number is 35507. The next prime is 35509 (a gap of 2) and the one before is 35491.
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 3779th one is 35507.
- 2
35507 is prime because no prime up to ā35507 ā 188.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3779th prime is close to 3779 Ć ln(3779) ā 31128, and here it is 35507.
- 4
35507 is a twin prime: 35507 and 35509 are both prime.
Primes around the 3779th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3776 | 35449 | 2 |
| 3777 | 35461 | 12 |
| 3778 | 35491 | 30 |
| 3779 | 35507 | 16 |
| 3780 | 35509 | 2 |
| 3781 | 35521 | 12 |
| 3782 | 35527 | 6 |
Questions
What is the 3779th prime number?
35507.
Which prime number is 35507?
35507 is the 3779th prime number.
What is the sum of the first 3779 primes?
63,161,808.