What is the 3962nd prime number?
The 3962nd prime number is 37423. The next prime is 37441 (a gap of 18) and the one before is 37409.
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 3962nd one is 37423.
- 2
37423 is prime because no prime up to ā37423 ā 193.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3962nd prime is close to 3962 Ć ln(3962) ā 32823, and here it is 37423.
- 4
37423 has no twin: neither 37421 nor 37425 is prime.
Primes around the 3962nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3959 | 37379 | 10 |
| 3960 | 37397 | 18 |
| 3961 | 37409 | 12 |
| 3962 | 37423 | 14 |
| 3963 | 37441 | 18 |
| 3964 | 37447 | 6 |
| 3965 | 37463 | 16 |
Questions
What is the 3962nd prime number?
37423.
Which prime number is 37423?
37423 is the 3962nd prime number.
What is the sum of the first 3962 primes?
69,837,857.