What is the 4991st prime number?
The 4991st prime number is 48523. The next prime is 48527 (a gap of 4) and the one before is 48497.
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 4991st one is 48523.
- 2
48523 is prime because no prime up to ā48523 ā 220.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4991st prime is close to 4991 Ć ln(4991) ā 42500, and here it is 48523.
- 4
48523 has no twin: neither 48521 nor 48525 is prime.
Primes around the 4991st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4988 | 48487 | 6 |
| 4989 | 48491 | 4 |
| 4990 | 48497 | 6 |
| 4991 | 48523 | 26 |
| 4992 | 48527 | 4 |
| 4993 | 48533 | 6 |
| 4994 | 48539 | 6 |
Questions
What is the 4991st prime number?
48523.
Which prime number is 48523?
48523 is the 4991st prime number.
What is the sum of the first 4991 primes?
114,018,192.