What is the 3718th prime number?
The 3718th prime number is 34841. The next prime is 34843 (a gap of 2) and the one before is 34819.
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 3718th one is 34841.
- 2
34841 is prime because no prime up to ā34841 ā 186.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3718th prime is close to 3718 Ć ln(3718) ā 30565, and here it is 34841.
- 4
34841 is a twin prime: 34841 and 34843 are both prime.
Primes around the 3718th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3715 | 34781 | 18 |
| 3716 | 34807 | 26 |
| 3717 | 34819 | 12 |
| 3718 | 34841 | 22 |
| 3719 | 34843 | 2 |
| 3720 | 34847 | 4 |
| 3721 | 34849 | 2 |
Questions
What is the 3718th prime number?
34841.
Which prime number is 34841?
34841 is the 3718th prime number.
What is the sum of the first 3718 primes?
61,016,421.