What is the 3936th prime number?
The 3936th prime number is 37139. The next prime is 37159 (a gap of 20) and the one before is 37123.
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 3936th one is 37139.
- 2
37139 is prime because no prime up to ā37139 ā 192.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3936th prime is close to 3936 Ć ln(3936) ā 32582, and here it is 37139.
- 4
37139 has no twin: neither 37137 nor 37141 is prime.
Primes around the 3936th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3933 | 37097 | 10 |
| 3934 | 37117 | 20 |
| 3935 | 37123 | 6 |
| 3936 | 37139 | 16 |
| 3937 | 37159 | 20 |
| 3938 | 37171 | 12 |
| 3939 | 37181 | 10 |
Questions
What is the 3936th prime number?
37139.
Which prime number is 37139?
37139 is the 3936th prime number.
What is the sum of the first 3936 primes?
68,868,287.