What is the 3951st prime number?
The 3951st prime number is 37313. The next prime is 37321 (a gap of 8) and the one before is 37309.
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 3951st one is 37313.
- 2
37313 is prime because no prime up to ā37313 ā 193.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3951st prime is close to 3951 Ć ln(3951) ā 32721, and here it is 37313.
- 4
37313 has no twin: neither 37311 nor 37315 is prime.
Primes around the 3951st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3948 | 37277 | 4 |
| 3949 | 37307 | 30 |
| 3950 | 37309 | 2 |
| 3951 | 37313 | 4 |
| 3952 | 37321 | 8 |
| 3953 | 37337 | 16 |
| 3954 | 37339 | 2 |
Questions
What is the 3951st prime number?
37313.
Which prime number is 37313?
37313 is the 3951st prime number.
What is the sum of the first 3951 primes?
69,426,802.