What is the 3960th prime number?
The 3960th prime number is 37397. The next prime is 37409 (a gap of 12) and the one before is 37379.
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 3960th one is 37397.
- 2
37397 is prime because no prime up to ā37397 ā 193.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3960th prime is close to 3960 Ć ln(3960) ā 32805, and here it is 37397.
- 4
37397 has no twin: neither 37395 nor 37399 is prime.
Primes around the 3960th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3957 | 37363 | 2 |
| 3958 | 37369 | 6 |
| 3959 | 37379 | 10 |
| 3960 | 37397 | 18 |
| 3961 | 37409 | 12 |
| 3962 | 37423 | 14 |
| 3963 | 37441 | 18 |
Questions
What is the 3960th prime number?
37397.
Which prime number is 37397?
37397 is the 3960th prime number.
What is the sum of the first 3960 primes?
69,763,025.