What is the 3933rd prime number?
The 3933rd prime number is 37097. The next prime is 37117 (a gap of 20) and the one before is 37087.
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 3933rd one is 37097.
- 2
37097 is prime because no prime up to ā37097 ā 192.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3933rd prime is close to 3933 Ć ln(3933) ā 32554, and here it is 37097.
- 4
37097 has no twin: neither 37095 nor 37099 is prime.
Primes around the 3933rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3930 | 37057 | 8 |
| 3931 | 37061 | 4 |
| 3932 | 37087 | 26 |
| 3933 | 37097 | 10 |
| 3934 | 37117 | 20 |
| 3935 | 37123 | 6 |
| 3936 | 37139 | 16 |
Questions
What is the 3933rd prime number?
37097.
Which prime number is 37097?
37097 is the 3933rd prime number.
What is the sum of the first 3933 primes?
68,756,908.