What is the 4982nd prime number?
The 4982nd prime number is 48437. The next prime is 48449 (a gap of 12) and the one before is 48413.
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 4982nd one is 48437.
- 2
48437 is prime because no prime up to ā48437 ā 220.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4982nd prime is close to 4982 Ć ln(4982) ā 42415, and here it is 48437.
- 4
48437 has no twin: neither 48435 nor 48439 is prime.
Primes around the 4982nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4979 | 48407 | 10 |
| 4980 | 48409 | 2 |
| 4981 | 48413 | 4 |
| 4982 | 48437 | 24 |
| 4983 | 48449 | 12 |
| 4984 | 48463 | 14 |
| 4985 | 48473 | 10 |
Questions
What is the 4982nd prime number?
48437.
Which prime number is 48437?
48437 is the 4982nd prime number.
What is the sum of the first 4982 primes?
113,581,849.