What is the 4978th prime number?
The 4978th prime number is 48397. The next prime is 48407 (a gap of 10) and the one before is 48383.
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 4978th one is 48397.
- 2
48397 is prime because no prime up to ā48397 ā 219.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4978th prime is close to 4978 Ć ln(4978) ā 42377, and here it is 48397.
- 4
48397 has no twin: neither 48395 nor 48399 is prime.
Primes around the 4978th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4975 | 48353 | 12 |
| 4976 | 48371 | 18 |
| 4977 | 48383 | 12 |
| 4978 | 48397 | 14 |
| 4979 | 48407 | 10 |
| 4980 | 48409 | 2 |
| 4981 | 48413 | 4 |
Questions
What is the 4978th prime number?
48397.
Which prime number is 48397?
48397 is the 4978th prime number.
What is the sum of the first 4978 primes?
113,388,183.