What is the 4983rd prime number?
The 4983rd prime number is 48449. The next prime is 48463 (a gap of 14) and the one before is 48437.
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 4983rd one is 48449.
- 2
48449 is prime because no prime up to ā48449 ā 220.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4983rd prime is close to 4983 Ć ln(4983) ā 42424, and here it is 48449.
- 4
48449 has no twin: neither 48447 nor 48451 is prime.
Primes around the 4983rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4980 | 48409 | 2 |
| 4981 | 48413 | 4 |
| 4982 | 48437 | 24 |
| 4983 | 48449 | 12 |
| 4984 | 48463 | 14 |
| 4985 | 48473 | 10 |
| 4986 | 48479 | 6 |
Questions
What is the 4983rd prime number?
48449.
Which prime number is 48449?
48449 is the 4983rd prime number.
What is the sum of the first 4983 primes?
113,630,298.