What is the 4920th prime number?
The 4920th prime number is 47717. The next prime is 47737 (a gap of 20) and the one before is 47713.
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 4920th one is 47717.
- 2
47717 is prime because no prime up to ā47717 ā 218.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4920th prime is close to 4920 Ć ln(4920) ā 41825, and here it is 47717.
- 4
47717 has no twin: neither 47715 nor 47719 is prime.
Primes around the 4920th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4917 | 47701 | 2 |
| 4918 | 47711 | 10 |
| 4919 | 47713 | 2 |
| 4920 | 47717 | 4 |
| 4921 | 47737 | 20 |
| 4922 | 47741 | 4 |
| 4923 | 47743 | 2 |
Questions
What is the 4920th prime number?
47717.
Which prime number is 47717?
47717 is the 4920th prime number.
What is the sum of the first 4920 primes?
110,601,165.