What is the 3820th prime number?
The 3820th prime number is 35969. The next prime is 35977 (a gap of 8) and the one before is 35963.
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 3820th one is 35969.
- 2
35969 is prime because no prime up to ā35969 ā 189.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3820th prime is close to 3820 Ć ln(3820) ā 31507, and here it is 35969.
- 4
35969 has no twin: neither 35967 nor 35971 is prime.
Primes around the 3820th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3817 | 35933 | 10 |
| 3818 | 35951 | 18 |
| 3819 | 35963 | 12 |
| 3820 | 35969 | 6 |
| 3821 | 35977 | 8 |
| 3822 | 35983 | 6 |
| 3823 | 35993 | 10 |
Questions
What is the 3820th prime number?
35969.
Which prime number is 35969?
35969 is the 3820th prime number.
What is the sum of the first 3820 primes?
64,627,115.