What is the 4925th prime number?
The 4925th prime number is 47779. The next prime is 47791 (a gap of 12) and the one before is 47777.
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 4925th one is 47779.
- 2
47779 is prime because no prime up to ā47779 ā 218.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4925th prime is close to 4925 Ć ln(4925) ā 41873, and here it is 47779.
- 4
47779 is a twin prime: 47777 and 47779 are both prime.
Primes around the 4925th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4922 | 47741 | 4 |
| 4923 | 47743 | 2 |
| 4924 | 47777 | 34 |
| 4925 | 47779 | 2 |
| 4926 | 47791 | 12 |
| 4927 | 47797 | 6 |
| 4928 | 47807 | 10 |
Questions
What is the 4925th prime number?
47779.
Which prime number is 47779?
47779 is the 4925th prime number.
What is the sum of the first 4925 primes?
110,839,942.