What is the 3758th prime number?
The 3758th prime number is 35279. The next prime is 35281 (a gap of 2) and the one before is 35267.
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 3758th one is 35279.
- 2
35279 is prime because no prime up to ā35279 ā 187.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3758th prime is close to 3758 Ć ln(3758) ā 30935, and here it is 35279.
- 4
35279 is a twin prime: 35279 and 35281 are both prime.
Primes around the 3758th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3755 | 35251 | 24 |
| 3756 | 35257 | 6 |
| 3757 | 35267 | 10 |
| 3758 | 35279 | 12 |
| 3759 | 35281 | 2 |
| 3760 | 35291 | 10 |
| 3761 | 35311 | 20 |
Questions
What is the 3758th prime number?
35279.
Which prime number is 35279?
35279 is the 3758th prime number.
What is the sum of the first 3758 primes?
62,418,687.