What is the 3952nd prime number?
The 3952nd prime number is 37321. The next prime is 37337 (a gap of 16) and the one before is 37313.
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 3952nd one is 37321.
- 2
37321 is prime because no prime up to ā37321 ā 193.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3952nd prime is close to 3952 Ć ln(3952) ā 32730, and here it is 37321.
- 4
37321 has no twin: neither 37319 nor 37323 is prime.
Primes around the 3952nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3949 | 37307 | 30 |
| 3950 | 37309 | 2 |
| 3951 | 37313 | 4 |
| 3952 | 37321 | 8 |
| 3953 | 37337 | 16 |
| 3954 | 37339 | 2 |
| 3955 | 37357 | 18 |
Questions
What is the 3952nd prime number?
37321.
Which prime number is 37321?
37321 is the 3952nd prime number.
What is the sum of the first 3952 primes?
69,464,123.