What is the 3822nd prime number?
The 3822nd prime number is 35983. The next prime is 35993 (a gap of 10) and the one before is 35977.
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 3822nd one is 35983.
- 2
35983 is prime because no prime up to ā35983 ā 189.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3822nd prime is close to 3822 Ć ln(3822) ā 31526, and here it is 35983.
- 4
35983 has no twin: neither 35981 nor 35985 is prime.
Primes around the 3822nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3819 | 35963 | 12 |
| 3820 | 35969 | 6 |
| 3821 | 35977 | 8 |
| 3822 | 35983 | 6 |
| 3823 | 35993 | 10 |
| 3824 | 35999 | 6 |
| 3825 | 36007 | 8 |
Questions
What is the 3822nd prime number?
35983.
Which prime number is 35983?
35983 is the 3822nd prime number.
What is the sum of the first 3822 primes?
64,699,075.