What is the 3922nd prime number?
The 3922nd prime number is 36979. The next prime is 36997 (a gap of 18) and the one before is 36973.
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 3922nd one is 36979.
- 2
36979 is prime because no prime up to ā36979 ā 192.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3922nd prime is close to 3922 Ć ln(3922) ā 32452, and here it is 36979.
- 4
36979 has no twin: neither 36977 nor 36981 is prime.
Primes around the 3922nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3919 | 36943 | 12 |
| 3920 | 36947 | 4 |
| 3921 | 36973 | 26 |
| 3922 | 36979 | 6 |
| 3923 | 36997 | 18 |
| 3924 | 37003 | 6 |
| 3925 | 37013 | 10 |
Questions
What is the 3922nd prime number?
36979.
Which prime number is 36979?
36979 is the 3922nd prime number.
What is the sum of the first 3922 primes?
68,349,465.