What is the 4996th prime number?
The 4996th prime number is 48563. The next prime is 48571 (a gap of 8) and the one before is 48541.
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 4996th one is 48563.
- 2
48563 is prime because no prime up to ā48563 ā 220.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4996th prime is close to 4996 Ć ln(4996) ā 42548, and here it is 48563.
- 4
48563 has no twin: neither 48561 nor 48565 is prime.
Primes around the 4996th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4993 | 48533 | 6 |
| 4994 | 48539 | 6 |
| 4995 | 48541 | 2 |
| 4996 | 48563 | 22 |
| 4997 | 48571 | 8 |
| 4998 | 48589 | 18 |
| 4999 | 48593 | 4 |
Questions
What is the 4996th prime number?
48563.
Which prime number is 48563?
48563 is the 4996th prime number.
What is the sum of the first 4996 primes?
114,260,895.