What is the 4988th prime number?
The 4988th prime number is 48487. The next prime is 48491 (a gap of 4) and the one before is 48481.
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 4988th one is 48487.
- 2
48487 is prime because no prime up to ā48487 ā 220.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4988th prime is close to 4988 Ć ln(4988) ā 42472, and here it is 48487.
- 4
48487 has no twin: neither 48485 nor 48489 is prime.
Primes around the 4988th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4985 | 48473 | 10 |
| 4986 | 48479 | 6 |
| 4987 | 48481 | 2 |
| 4988 | 48487 | 6 |
| 4989 | 48491 | 4 |
| 4990 | 48497 | 6 |
| 4991 | 48523 | 26 |
Questions
What is the 4988th prime number?
48487.
Which prime number is 48487?
48487 is the 4988th prime number.
What is the sum of the first 4988 primes?
113,872,681.