What is the 3931st prime number?
The 3931st prime number is 37061. The next prime is 37087 (a gap of 26) and the one before is 37057.
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 3931st one is 37061.
- 2
37061 is prime because no prime up to ā37061 ā 192.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3931st prime is close to 3931 Ć ln(3931) ā 32536, and here it is 37061.
- 4
37061 has no twin: neither 37059 nor 37063 is prime.
Primes around the 3931st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3928 | 37039 | 18 |
| 3929 | 37049 | 10 |
| 3930 | 37057 | 8 |
| 3931 | 37061 | 4 |
| 3932 | 37087 | 26 |
| 3933 | 37097 | 10 |
| 3934 | 37117 | 20 |
Questions
What is the 3931st prime number?
37061.
Which prime number is 37061?
37061 is the 3931st prime number.
What is the sum of the first 3931 primes?
68,682,724.