What is the 3935th prime number?
The 3935th prime number is 37123. The next prime is 37139 (a gap of 16) and the one before is 37117.
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 3935th one is 37123.
- 2
37123 is prime because no prime up to ā37123 ā 192.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3935th prime is close to 3935 Ć ln(3935) ā 32573, and here it is 37123.
- 4
37123 has no twin: neither 37121 nor 37125 is prime.
Primes around the 3935th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3932 | 37087 | 26 |
| 3933 | 37097 | 10 |
| 3934 | 37117 | 20 |
| 3935 | 37123 | 6 |
| 3936 | 37139 | 16 |
| 3937 | 37159 | 20 |
| 3938 | 37171 | 12 |
Questions
What is the 3935th prime number?
37123.
Which prime number is 37123?
37123 is the 3935th prime number.
What is the sum of the first 3935 primes?
68,831,148.