What is the 3762nd prime number?
The 3762nd prime number is 35317. The next prime is 35323 (a gap of 6) and the one before is 35311.
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 3762nd one is 35317.
- 2
35317 is prime because no prime up to ā35317 ā 187.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3762nd prime is close to 3762 Ć ln(3762) ā 30971, and here it is 35317.
- 4
35317 has no twin: neither 35315 nor 35319 is prime.
Primes around the 3762nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3759 | 35281 | 2 |
| 3760 | 35291 | 10 |
| 3761 | 35311 | 20 |
| 3762 | 35317 | 6 |
| 3763 | 35323 | 6 |
| 3764 | 35327 | 4 |
| 3765 | 35339 | 12 |
Questions
What is the 3762nd prime number?
35317.
Which prime number is 35317?
35317 is the 3762nd prime number.
What is the sum of the first 3762 primes?
62,559,887.