What is the 3821st prime number?
The 3821st prime number is 35977. The next prime is 35983 (a gap of 6) and the one before is 35969.
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 3821st one is 35977.
- 2
35977 is prime because no prime up to ā35977 ā 189.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3821st prime is close to 3821 Ć ln(3821) ā 31517, and here it is 35977.
- 4
35977 has no twin: neither 35975 nor 35979 is prime.
Primes around the 3821st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3818 | 35951 | 18 |
| 3819 | 35963 | 12 |
| 3820 | 35969 | 6 |
| 3821 | 35977 | 8 |
| 3822 | 35983 | 6 |
| 3823 | 35993 | 10 |
| 3824 | 35999 | 6 |
Questions
What is the 3821st prime number?
35977.
Which prime number is 35977?
35977 is the 3821st prime number.
What is the sum of the first 3821 primes?
64,663,092.