What is the 3926th prime number?
The 3926th prime number is 37019. The next prime is 37021 (a gap of 2) and the one before is 37013.
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 3926th one is 37019.
- 2
37019 is prime because no prime up to ā37019 ā 192.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3926th prime is close to 3926 Ć ln(3926) ā 32489, and here it is 37019.
- 4
37019 is a twin prime: 37019 and 37021 are both prime.
Primes around the 3926th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3923 | 36997 | 18 |
| 3924 | 37003 | 6 |
| 3925 | 37013 | 10 |
| 3926 | 37019 | 6 |
| 3927 | 37021 | 2 |
| 3928 | 37039 | 18 |
| 3929 | 37049 | 10 |
Questions
What is the 3926th prime number?
37019.
Which prime number is 37019?
37019 is the 3926th prime number.
What is the sum of the first 3926 primes?
68,497,497.