What is the 4975th prime number?
The 4975th prime number is 48353. The next prime is 48371 (a gap of 18) and the one before is 48341.
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 4975th one is 48353.
- 2
48353 is prime because no prime up to ā48353 ā 219.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4975th prime is close to 4975 Ć ln(4975) ā 42348, and here it is 48353.
- 4
48353 has no twin: neither 48351 nor 48355 is prime.
Primes around the 4975th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4972 | 48313 | 2 |
| 4973 | 48337 | 24 |
| 4974 | 48341 | 4 |
| 4975 | 48353 | 12 |
| 4976 | 48371 | 18 |
| 4977 | 48383 | 12 |
| 4978 | 48397 | 14 |
Questions
What is the 4975th prime number?
48353.
Which prime number is 48353?
48353 is the 4975th prime number.
What is the sum of the first 4975 primes?
113,243,032.