What is the 3800th prime number?
The 3800th prime number is 35759. The next prime is 35771 (a gap of 12) and the one before is 35753.
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 3800th one is 35759.
- 2
35759 is prime because no prime up to ā35759 ā 189.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3800th prime is close to 3800 Ć ln(3800) ā 31322, and here it is 35759.
- 4
35759 has no twin: neither 35757 nor 35761 is prime.
Primes around the 3800th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3797 | 35731 | 2 |
| 3798 | 35747 | 16 |
| 3799 | 35753 | 6 |
| 3800 | 35759 | 6 |
| 3801 | 35771 | 12 |
| 3802 | 35797 | 26 |
| 3803 | 35801 | 4 |
Questions
What is the 3800th prime number?
35759.
Which prime number is 35759?
35759 is the 3800th prime number.
What is the sum of the first 3800 primes?
63,909,719.