What is the 4990th prime number?
The 4990th prime number is 48497. The next prime is 48523 (a gap of 26) and the one before is 48491.
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 4990th one is 48497.
- 2
48497 is prime because no prime up to ā48497 ā 220.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4990th prime is close to 4990 Ć ln(4990) ā 42491, and here it is 48497.
- 4
48497 has no twin: neither 48495 nor 48499 is prime.
Primes around the 4990th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4987 | 48481 | 2 |
| 4988 | 48487 | 6 |
| 4989 | 48491 | 4 |
| 4990 | 48497 | 6 |
| 4991 | 48523 | 26 |
| 4992 | 48527 | 4 |
| 4993 | 48533 | 6 |
Questions
What is the 4990th prime number?
48497.
Which prime number is 48497?
48497 is the 4990th prime number.
What is the sum of the first 4990 primes?
113,969,669.