What is the 4922nd prime number?
The 4922nd prime number is 47741. The next prime is 47743 (a gap of 2) and the one before is 47737.
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 4922nd one is 47741.
- 2
47741 is prime because no prime up to ā47741 ā 218.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4922nd prime is close to 4922 Ć ln(4922) ā 41844, and here it is 47741.
- 4
47741 is a twin prime: 47741 and 47743 are both prime.
Primes around the 4922nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4919 | 47713 | 2 |
| 4920 | 47717 | 4 |
| 4921 | 47737 | 20 |
| 4922 | 47741 | 4 |
| 4923 | 47743 | 2 |
| 4924 | 47777 | 34 |
| 4925 | 47779 | 2 |
Questions
What is the 4922nd prime number?
47741.
Which prime number is 47741?
47741 is the 4922nd prime number.
What is the sum of the first 4922 primes?
110,696,643.