What is the 3719th prime number?
The 3719th prime number is 34843. The next prime is 34847 (a gap of 4) and the one before is 34841.
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 3719th one is 34843.
- 2
34843 is prime because no prime up to ā34843 ā 186.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3719th prime is close to 3719 Ć ln(3719) ā 30575, and here it is 34843.
- 4
34843 is a twin prime: 34841 and 34843 are both prime.
Primes around the 3719th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3716 | 34807 | 26 |
| 3717 | 34819 | 12 |
| 3718 | 34841 | 22 |
| 3719 | 34843 | 2 |
| 3720 | 34847 | 4 |
| 3721 | 34849 | 2 |
| 3722 | 34871 | 22 |
Questions
What is the 3719th prime number?
34843.
Which prime number is 34843?
34843 is the 3719th prime number.
What is the sum of the first 3719 primes?
61,051,264.