What is the 3759th prime number?
The 3759th prime number is 35281. The next prime is 35291 (a gap of 10) and the one before is 35279.
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 3759th one is 35281.
- 2
35281 is prime because no prime up to ā35281 ā 187.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3759th prime is close to 3759 Ć ln(3759) ā 30944, and here it is 35281.
- 4
35281 is a twin prime: 35279 and 35281 are both prime.
Primes around the 3759th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3756 | 35257 | 6 |
| 3757 | 35267 | 10 |
| 3758 | 35279 | 12 |
| 3759 | 35281 | 2 |
| 3760 | 35291 | 10 |
| 3761 | 35311 | 20 |
| 3762 | 35317 | 6 |
Questions
What is the 3759th prime number?
35281.
Which prime number is 35281?
35281 is the 3759th prime number.
What is the sum of the first 3759 primes?
62,453,968.