What is the 3799th prime number?
The 3799th prime number is 35753. The next prime is 35759 (a gap of 6) and the one before is 35747.
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 3799th one is 35753.
- 2
35753 is prime because no prime up to ā35753 ā 189.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3799th prime is close to 3799 Ć ln(3799) ā 31313, and here it is 35753.
- 4
35753 has no twin: neither 35751 nor 35755 is prime.
Primes around the 3799th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3796 | 35729 | 52 |
| 3797 | 35731 | 2 |
| 3798 | 35747 | 16 |
| 3799 | 35753 | 6 |
| 3800 | 35759 | 6 |
| 3801 | 35771 | 12 |
| 3802 | 35797 | 26 |
Questions
What is the 3799th prime number?
35753.
Which prime number is 35753?
35753 is the 3799th prime number.
What is the sum of the first 3799 primes?
63,873,960.