What is the 3798th prime number?
The 3798th prime number is 35747. The next prime is 35753 (a gap of 6) and the one before is 35731.
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 3798th one is 35747.
- 2
35747 is prime because no prime up to ā35747 ā 189.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3798th prime is close to 3798 Ć ln(3798) ā 31304, and here it is 35747.
- 4
35747 has no twin: neither 35745 nor 35749 is prime.
Primes around the 3798th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3795 | 35677 | 6 |
| 3796 | 35729 | 52 |
| 3797 | 35731 | 2 |
| 3798 | 35747 | 16 |
| 3799 | 35753 | 6 |
| 3800 | 35759 | 6 |
| 3801 | 35771 | 12 |
Questions
What is the 3798th prime number?
35747.
Which prime number is 35747?
35747 is the 3798th prime number.
What is the sum of the first 3798 primes?
63,838,207.