What is the 3963rd prime number?
The 3963rd prime number is 37441. The next prime is 37447 (a gap of 6) and the one before is 37423.
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 3963rd one is 37441.
- 2
37441 is prime because no prime up to ā37441 ā 193.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3963rd prime is close to 3963 Ć ln(3963) ā 32832, and here it is 37441.
- 4
37441 has no twin: neither 37439 nor 37443 is prime.
Primes around the 3963rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3960 | 37397 | 18 |
| 3961 | 37409 | 12 |
| 3962 | 37423 | 14 |
| 3963 | 37441 | 18 |
| 3964 | 37447 | 6 |
| 3965 | 37463 | 16 |
| 3966 | 37483 | 20 |
Questions
What is the 3963rd prime number?
37441.
Which prime number is 37441?
37441 is the 3963rd prime number.
What is the sum of the first 3963 primes?
69,875,298.