What is the 4977th prime number?
The 4977th prime number is 48383. The next prime is 48397 (a gap of 14) and the one before is 48371.
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 4977th one is 48383.
- 2
48383 is prime because no prime up to ā48383 ā 219.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4977th prime is close to 4977 Ć ln(4977) ā 42367, and here it is 48383.
- 4
48383 has no twin: neither 48381 nor 48385 is prime.
Primes around the 4977th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4974 | 48341 | 4 |
| 4975 | 48353 | 12 |
| 4976 | 48371 | 18 |
| 4977 | 48383 | 12 |
| 4978 | 48397 | 14 |
| 4979 | 48407 | 10 |
| 4980 | 48409 | 2 |
Questions
What is the 4977th prime number?
48383.
Which prime number is 48383?
48383 is the 4977th prime number.
What is the sum of the first 4977 primes?
113,339,786.