What is the 3932nd prime number?
The 3932nd prime number is 37087. The next prime is 37097 (a gap of 10) and the one before is 37061.
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 3932nd one is 37087.
- 2
37087 is prime because no prime up to ā37087 ā 192.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3932nd prime is close to 3932 Ć ln(3932) ā 32545, and here it is 37087.
- 4
37087 has no twin: neither 37085 nor 37089 is prime.
Primes around the 3932nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3929 | 37049 | 10 |
| 3930 | 37057 | 8 |
| 3931 | 37061 | 4 |
| 3932 | 37087 | 26 |
| 3933 | 37097 | 10 |
| 3934 | 37117 | 20 |
| 3935 | 37123 | 6 |
Questions
What is the 3932nd prime number?
37087.
Which prime number is 37087?
37087 is the 3932nd prime number.
What is the sum of the first 3932 primes?
68,719,811.