What is the 4979th prime number?
The 4979th prime number is 48407. The next prime is 48409 (a gap of 2) and the one before is 48397.
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 4979th one is 48407.
- 2
48407 is prime because no prime up to ā48407 ā 220.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4979th prime is close to 4979 Ć ln(4979) ā 42386, and here it is 48407.
- 4
48407 is a twin prime: 48407 and 48409 are both prime.
Primes around the 4979th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4976 | 48371 | 18 |
| 4977 | 48383 | 12 |
| 4978 | 48397 | 14 |
| 4979 | 48407 | 10 |
| 4980 | 48409 | 2 |
| 4981 | 48413 | 4 |
| 4982 | 48437 | 24 |
Questions
What is the 4979th prime number?
48407.
Which prime number is 48407?
48407 is the 4979th prime number.
What is the sum of the first 4979 primes?
113,436,590.