What is the 3925th prime number?
The 3925th prime number is 37013. The next prime is 37019 (a gap of 6) and the one before is 37003.
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 3925th one is 37013.
- 2
37013 is prime because no prime up to ā37013 ā 192.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3925th prime is close to 3925 Ć ln(3925) ā 32480, and here it is 37013.
- 4
37013 has no twin: neither 37011 nor 37015 is prime.
Primes around the 3925th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3922 | 36979 | 6 |
| 3923 | 36997 | 18 |
| 3924 | 37003 | 6 |
| 3925 | 37013 | 10 |
| 3926 | 37019 | 6 |
| 3927 | 37021 | 2 |
| 3928 | 37039 | 18 |
Questions
What is the 3925th prime number?
37013.
Which prime number is 37013?
37013 is the 3925th prime number.
What is the sum of the first 3925 primes?
68,460,478.