What is the 3966th prime number?
The 3966th prime number is 37483. The next prime is 37489 (a gap of 6) and the one before is 37463.
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 3966th one is 37483.
- 2
37483 is prime because no prime up to ā37483 ā 193.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3966th prime is close to 3966 Ć ln(3966) ā 32860, and here it is 37483.
- 4
37483 has no twin: neither 37481 nor 37485 is prime.
Primes around the 3966th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3963 | 37441 | 18 |
| 3964 | 37447 | 6 |
| 3965 | 37463 | 16 |
| 3966 | 37483 | 20 |
| 3967 | 37489 | 6 |
| 3968 | 37493 | 4 |
| 3969 | 37501 | 8 |
Questions
What is the 3966th prime number?
37483.
Which prime number is 37483?
37483 is the 3966th prime number.
What is the sum of the first 3966 primes?
69,987,691.