What is the 4987th prime number?
The 4987th prime number is 48481. The next prime is 48487 (a gap of 6) and the one before is 48479.
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 4987th one is 48481.
- 2
48481 is prime because no prime up to ā48481 ā 220.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4987th prime is close to 4987 Ć ln(4987) ā 42462, and here it is 48481.
- 4
48481 is a twin prime: 48479 and 48481 are both prime.
Primes around the 4987th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4984 | 48463 | 14 |
| 4985 | 48473 | 10 |
| 4986 | 48479 | 6 |
| 4987 | 48481 | 2 |
| 4988 | 48487 | 6 |
| 4989 | 48491 | 4 |
| 4990 | 48497 | 6 |
Questions
What is the 4987th prime number?
48481.
Which prime number is 48481?
48481 is the 4987th prime number.
What is the sum of the first 4987 primes?
113,824,194.