What is the 4980th prime number?
The 4980th prime number is 48409. The next prime is 48413 (a gap of 4) and the one before is 48407.
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 4980th one is 48409.
- 2
48409 is prime because no prime up to ā48409 ā 220.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4980th prime is close to 4980 Ć ln(4980) ā 42396, and here it is 48409.
- 4
48409 is a twin prime: 48407 and 48409 are both prime.
Primes around the 4980th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4977 | 48383 | 12 |
| 4978 | 48397 | 14 |
| 4979 | 48407 | 10 |
| 4980 | 48409 | 2 |
| 4981 | 48413 | 4 |
| 4982 | 48437 | 24 |
| 4983 | 48449 | 12 |
Questions
What is the 4980th prime number?
48409.
Which prime number is 48409?
48409 is the 4980th prime number.
What is the sum of the first 4980 primes?
113,484,999.