What is the 3760th prime number?
The 3760th prime number is 35291. The next prime is 35311 (a gap of 20) and the one before is 35281.
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 3760th one is 35291.
- 2
35291 is prime because no prime up to ā35291 ā 187.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3760th prime is close to 3760 Ć ln(3760) ā 30953, and here it is 35291.
- 4
35291 has no twin: neither 35289 nor 35293 is prime.
Primes around the 3760th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3757 | 35267 | 10 |
| 3758 | 35279 | 12 |
| 3759 | 35281 | 2 |
| 3760 | 35291 | 10 |
| 3761 | 35311 | 20 |
| 3762 | 35317 | 6 |
| 3763 | 35323 | 6 |
Questions
What is the 3760th prime number?
35291.
Which prime number is 35291?
35291 is the 3760th prime number.
What is the sum of the first 3760 primes?
62,489,259.