What is the 4984th prime number?
The 4984th prime number is 48463. The next prime is 48473 (a gap of 10) and the one before is 48449.
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 4984th one is 48463.
- 2
48463 is prime because no prime up to ā48463 ā 220.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4984th prime is close to 4984 Ć ln(4984) ā 42434, and here it is 48463.
- 4
48463 has no twin: neither 48461 nor 48465 is prime.
Primes around the 4984th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4981 | 48413 | 4 |
| 4982 | 48437 | 24 |
| 4983 | 48449 | 12 |
| 4984 | 48463 | 14 |
| 4985 | 48473 | 10 |
| 4986 | 48479 | 6 |
| 4987 | 48481 | 2 |
Questions
What is the 4984th prime number?
48463.
Which prime number is 48463?
48463 is the 4984th prime number.
What is the sum of the first 4984 primes?
113,678,761.