What is the 4986th prime number?
The 4986th prime number is 48479. The next prime is 48481 (a gap of 2) and the one before is 48473.
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 4986th one is 48479.
- 2
48479 is prime because no prime up to ā48479 ā 220.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4986th prime is close to 4986 Ć ln(4986) ā 42453, and here it is 48479.
- 4
48479 is a twin prime: 48479 and 48481 are both prime.
Primes around the 4986th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4983 | 48449 | 12 |
| 4984 | 48463 | 14 |
| 4985 | 48473 | 10 |
| 4986 | 48479 | 6 |
| 4987 | 48481 | 2 |
| 4988 | 48487 | 6 |
| 4989 | 48491 | 4 |
Questions
What is the 4986th prime number?
48479.
Which prime number is 48479?
48479 is the 4986th prime number.
What is the sum of the first 4986 primes?
113,775,713.