What is the 3964th prime number?
The 3964th prime number is 37447. The next prime is 37463 (a gap of 16) and the one before is 37441.
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 3964th one is 37447.
- 2
37447 is prime because no prime up to ā37447 ā 193.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3964th prime is close to 3964 Ć ln(3964) ā 32842, and here it is 37447.
- 4
37447 has no twin: neither 37445 nor 37449 is prime.
Primes around the 3964th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3961 | 37409 | 12 |
| 3962 | 37423 | 14 |
| 3963 | 37441 | 18 |
| 3964 | 37447 | 6 |
| 3965 | 37463 | 16 |
| 3966 | 37483 | 20 |
| 3967 | 37489 | 6 |
Questions
What is the 3964th prime number?
37447.
Which prime number is 37447?
37447 is the 3964th prime number.
What is the sum of the first 3964 primes?
69,912,745.