What is the 3967th prime number?
The 3967th prime number is 37489. The next prime is 37493 (a gap of 4) and the one before is 37483.
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 3967th one is 37489.
- 2
37489 is prime because no prime up to ā37489 ā 193.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3967th prime is close to 3967 Ć ln(3967) ā 32870, and here it is 37489.
- 4
37489 has no twin: neither 37487 nor 37491 is prime.
Primes around the 3967th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3964 | 37447 | 6 |
| 3965 | 37463 | 16 |
| 3966 | 37483 | 20 |
| 3967 | 37489 | 6 |
| 3968 | 37493 | 4 |
| 3969 | 37501 | 8 |
| 3970 | 37507 | 6 |
Questions
What is the 3967th prime number?
37489.
Which prime number is 37489?
37489 is the 3967th prime number.
What is the sum of the first 3967 primes?
70,025,180.