What is the 4976th prime number?
The 4976th prime number is 48371. The next prime is 48383 (a gap of 12) and the one before is 48353.
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 4976th one is 48371.
- 2
48371 is prime because no prime up to ā48371 ā 219.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4976th prime is close to 4976 Ć ln(4976) ā 42358, and here it is 48371.
- 4
48371 has no twin: neither 48369 nor 48373 is prime.
Primes around the 4976th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4973 | 48337 | 24 |
| 4974 | 48341 | 4 |
| 4975 | 48353 | 12 |
| 4976 | 48371 | 18 |
| 4977 | 48383 | 12 |
| 4978 | 48397 | 14 |
| 4979 | 48407 | 10 |
Questions
What is the 4976th prime number?
48371.
Which prime number is 48371?
48371 is the 4976th prime number.
What is the sum of the first 4976 primes?
113,291,403.