What is the 4921st prime number?
The 4921st prime number is 47737. The next prime is 47741 (a gap of 4) and the one before is 47717.
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 4921st one is 47737.
- 2
47737 is prime because no prime up to ā47737 ā 218.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4921st prime is close to 4921 Ć ln(4921) ā 41835, and here it is 47737.
- 4
47737 has no twin: neither 47735 nor 47739 is prime.
Primes around the 4921st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4918 | 47711 | 10 |
| 4919 | 47713 | 2 |
| 4920 | 47717 | 4 |
| 4921 | 47737 | 20 |
| 4922 | 47741 | 4 |
| 4923 | 47743 | 2 |
| 4924 | 47777 | 34 |
Questions
What is the 4921st prime number?
47737.
Which prime number is 47737?
47737 is the 4921st prime number.
What is the sum of the first 4921 primes?
110,648,902.